113556705370272 has 144 divisors (see below), whose sum is σ = 323565164100360. Its totient is φ = 37777469700096.

The previous prime is 113556705370237. The next prime is 113556705370313. The reversal of 113556705370272 is 272073507655311.

113556705370272 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 567 + 0 + 5 + 3 + 7 + 0 + 2 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39022560214416 + 74534145155856 = 6246804^2 + 8633316^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426584158 + ... + 426850274.

Almost surely, 2^{113556705370272} is an apocalyptic number.

113556705370272 is a gapful number since it is divisible by the number (12) 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 113556705370272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161782582050180).

113556705370272 is an abundant number, since it is smaller than the sum of its proper divisors (210008458730088).

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

113556705370272 is a wasteful number, since it uses less digits than its factorization.

113556705370272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269055 (or 269044 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 113556705370272 in words is "one hundred thirteen trillion, five hundred fifty-six billion, seven hundred five million, three hundred seventy thousand, two hundred seventy-two".