111135723229440 has 1296 divisors, whose sum is σ = 487461873225600. Its totient is φ = 22876388720640.

The previous prime is 111135723229397. The next prime is 111135723229459. The reversal of 111135723229440 is 44922327531111.

111135723229440 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 3 + 572 + 32 + 2 + 9 + 4 + 40 = 666.

It is a super-2 number, since 2×111135723229440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 558655111 + ... + 558854009.

It is an arithmetic number, because the mean of its divisors is an integer number (376127988600).

Almost surely, 2^{111135723229440} is an apocalyptic number.

111135723229440 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 111135723229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243730936612800).

111135723229440 is an abundant number, since it is smaller than the sum of its proper divisors (376326149996160).

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

111135723229440 is a wasteful number, since it uses less digits than its factorization.

111135723229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199000 (or 198970 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 111135723229440 in words is "one hundred eleven trillion, one hundred thirty-five billion, seven hundred twenty-three million, two hundred twenty-nine thousand, four hundred forty".