112863254400 has 576 divisors, whose sum is σ = 435791013840. Its totient is φ = 27648000000.

The previous prime is 112863254389. The next prime is 112863254429. The reversal of 112863254400 is 4452368211.

It is a happy number.

112863254400 is a `hidden beast` number, since 1 + 1 + 2 + 86 + 32 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×112863254400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93973800 + ... + 93975000.

Almost surely, 2^112863254400 is an apocalyptic number.

112863254400 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 112863254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217895506920).

112863254400 is an abundant number, since it is smaller than the sum of its proper divisors (322927759440).

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

112863254400 is a wasteful number, since it uses less digits than its factorization.

112863254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 112863254400 in words is "one hundred twelve billion, eight hundred sixty-three million, two hundred fifty-four thousand, four hundred".