111249427461984 has 864 divisors, whose sum is σ = 400476793036320. Its totient is φ = 29091879419904.

The previous prime is 111249427461959. The next prime is 111249427462051. The reversal of 111249427461984 is 489164724942111.

111249427461984 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 4 + 9 + 4 + 2 + 7 + 4 + 619 + 8 + 4 = 666.

111249427461984 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111249427461984² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2362311142 + ... + 2362358234.

It is an arithmetic number, because the mean of its divisors is an integer number (463514806755).

Almost surely, 2^{111249427461984} is an apocalyptic number.

111249427461984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111249427461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200238396518160).

111249427461984 is an abundant number, since it is smaller than the sum of its proper divisors (289227365574336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111249427461984 is a wasteful number, since it uses less digits than its factorization.

111249427461984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47412 (or 47394 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 111249427461984 in words is "one hundred eleven trillion, two hundred forty-nine billion, four hundred twenty-seven million, four hundred sixty-one thousand, nine hundred eighty-four".