111023628756480 has 3840 divisors, whose sum is σ = 489592964044800. Its totient is φ = 23701546598400.

The previous prime is 111023628756451. The next prime is 111023628756541. The reversal of 111023628756480 is 84657826320111.

It is a happy number.

111023628756480 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 2 + 3 + 628 + 7 + 5 + 6 + 4 + 8 + 0 = 666.

111023628756480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×111023628756480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 135229754470 + ... + 135229755290.

It is an arithmetic number, because the mean of its divisors is an integer number (127498167720).

Almost surely, 2^{111023628756480} is an apocalyptic number.

111023628756480 is a gapful number since it is divisible by the number (10) 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 111023628756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244796482022400).

111023628756480 is an abundant number, since it is smaller than the sum of its proper divisors (378569335288320).

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

111023628756480 is a wasteful number, since it uses less digits than its factorization.

111023628756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 111023628756480 in words is "one hundred eleven trillion, twenty-three billion, six hundred twenty-eight million, seven hundred fifty-six thousand, four hundred eighty".