112646514666400 has 288 divisors, whose sum is σ = 326273725645056. Its totient is φ = 37437043200000.

The previous prime is 112646514666377. The next prime is 112646514666419. The reversal of 112646514666400 is 4666415646211.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 6679785 + ... + 16429015.

It is an arithmetic number, because the mean of its divisors is an integer number (1132894880712).

Almost surely, 2^{112646514666400} is an apocalyptic number.

112646514666400 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 112646514666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163136862822528).

112646514666400 is an abundant number, since it is smaller than the sum of its proper divisors (213627210978656).

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

112646514666400 is a wasteful number, since it uses less digits than its factorization.

112646514666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749376 (or 9749363 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 112646514666400 in words is "one hundred twelve trillion, six hundred forty-six billion, five hundred fourteen million, six hundred sixty-six thousand, four hundred".