112521451040544 has 384 divisors, whose sum is σ = 371342667870720. Its totient is φ = 29041167826944.

The previous prime is 112521451040507. The next prime is 112521451040561. The reversal of 112521451040544 is 445040154125211.

It is a super-2 number, since 2×112521451040544² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 179797744 + ... + 180422480.

It is an arithmetic number, because the mean of its divisors is an integer number (967038197580).

Almost surely, 2^{112521451040544} is an apocalyptic number.

112521451040544 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 112521451040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185671333935360).

112521451040544 is an abundant number, since it is smaller than the sum of its proper divisors (258821216830176).

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

112521451040544 is a wasteful number, since it uses less digits than its factorization.

112521451040544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625212 (or 625204 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The spelling of 112521451040544 in words is "one hundred twelve trillion, five hundred twenty-one billion, four hundred fifty-one million, forty thousand, five hundred forty-four".