111351429504 has 768 divisors, whose sum is σ = 391679608320. Its totient is φ = 29708550144.

The previous prime is 111351429493. The next prime is 111351429517. The reversal of 111351429504 is 405924153111.

111351429504 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 5 + 142 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1341583447 + ... + 1341583529.

It is an arithmetic number, because the mean of its divisors is an integer number (509999490).

Almost surely, 2^111351429504 is an apocalyptic number.

111351429504 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 111351429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195839804160).

111351429504 is an abundant number, since it is smaller than the sum of its proper divisors (280328178816).

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

111351429504 is a wasteful number, since it uses less digits than its factorization.

111351429504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 111351429504 in words is "one hundred eleven billion, three hundred fifty-one million, four hundred twenty-nine thousand, five hundred four".