112569545259072 has 336 divisors, whose sum is σ = 373318846415424. Its totient is φ = 32051957760000.

The previous prime is 112569545259053. The next prime is 112569545259131. The reversal of 112569545259072 is 270952545965211.

112569545259072 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 6 + 95 + 452 + 5 + 90 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63865447 + ... + 65604377.

It is an arithmetic number, because the mean of its divisors is an integer number (1111067995284).

Almost surely, 2^{112569545259072} is an apocalyptic number.

112569545259072 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 112569545259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186659423207712).

112569545259072 is an abundant number, since it is smaller than the sum of its proper divisors (260749301156352).

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

112569545259072 is a wasteful number, since it uses less digits than its factorization.

112569545259072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739578 (or 1739565 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 112569545259072 in words is "one hundred twelve trillion, five hundred sixty-nine billion, five hundred forty-five million, two hundred fifty-nine thousand, seventy-two".