111432964896 has 576 divisors, whose sum is σ = 382494752640. Its totient is φ = 31538626560.

The previous prime is 111432964859. The next prime is 111432964897. The reversal of 111432964896 is 698469234111.

111432964896 is a `hidden beast` number, since 11 + 143 + 2 + 9 + 6 + 489 + 6 = 666.

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.

It is not an unprimeable number, because it can be changed into a prime (111432964897) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 286459870 + ... + 286460258.

It is an arithmetic number, because the mean of its divisors is an integer number (664053390).

Almost surely, 2^111432964896 is an apocalyptic number.

111432964896 is a gapful number since it is divisible by the number (16) 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 111432964896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191247376320).

111432964896 is an abundant number, since it is smaller than the sum of its proper divisors (271061787744).

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

111432964896 is a wasteful number, since it uses less digits than its factorization.

111432964896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 111432964896 in words is "one hundred eleven billion, four hundred thirty-two million, nine hundred sixty-four thousand, eight hundred ninety-six".