112997552394240 has 2496 divisors, whose sum is σ = 446298364512000. Its totient is φ = 27310908506112.

The previous prime is 112997552394217. The next prime is 112997552394263. The reversal of 112997552394240 is 42493255799211.

It is a happy number.

112997552394240 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 9 + 7 + 552 + 39 + 4 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (112997552394217) and next prime (112997552394263).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 323775221586 + ... + 323775221934.

It is an arithmetic number, because the mean of its divisors is an integer number (178805434500).

Almost surely, 2^{112997552394240} is an apocalyptic number.

112997552394240 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 112997552394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223149182256000).

112997552394240 is an abundant number, since it is smaller than the sum of its proper divisors (333300812117760).

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

112997552394240 is an equidigital number, since it uses as much as digits as its factorization.

112997552394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 112997552394240 in words is "one hundred twelve trillion, nine hundred ninety-seven billion, five hundred fifty-two million, three hundred ninety-four thousand, two hundred forty".