111892644864 has 1056 divisors, whose sum is σ = 448801966080. Its totient is φ = 26741145600.

The previous prime is 111892644839. The next prime is 111892644883. The reversal of 111892644864 is 468446298111.

111892644864 is a `hidden beast` number, since 1 + 1 + 18 + 92 + 64 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×111892644864² (a number of 23 digits) contains 22 as substring.

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

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

Its product of digits (2654208) is a multiple of the sum of its prime factors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 111892644864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359783269 + ... + 359783579.

Almost surely, 2^111892644864 is an apocalyptic number.

111892644864 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 111892644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224400983040).

111892644864 is an abundant number, since it is smaller than the sum of its proper divisors (336909321216).

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

111892644864 is a wasteful number, since it uses less digits than its factorization.

111892644864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 347 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 111892644864 in words is "one hundred eleven billion, eight hundred ninety-two million, six hundred forty-four thousand, eight hundred sixty-four".