1112577638400 has 1056 divisors, whose sum is σ = 4318645876920. Its totient is φ = 283787919360.

The previous prime is 1112577638383. The next prime is 1112577638413. The reversal of 1112577638400 is 48367752111.

1112577638400 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 5 + 7 + 7 + 638 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 48372940789 + ... + 48372940811.

Almost surely, 2^{1112577638400} is an apocalyptic number.

1112577638400 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 1112577638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159322938460).

1112577638400 is an abundant number, since it is smaller than the sum of its proper divisors (3206068238520).

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

1112577638400 is an frugal number, since it uses more digits than its factorization.

1112577638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1112577638400 in words is "one trillion, one hundred twelve billion, five hundred seventy-seven million, six hundred thirty-eight thousand, four hundred".