113544631728 has 240 divisors, whose sum is σ = 368642360736. Its totient is φ = 32242728960.

The previous prime is 113544631727. The next prime is 113544631729. The reversal of 113544631728 is 827136445311.

113544631728 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 4 + 631 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (113544631727) and next prime (113544631729).

It is not an unprimeable number, because it can be changed into a prime (113544631727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6265176 + ... + 6283272.

Almost surely, 2^113544631728 is an apocalyptic number.

113544631728 is a gapful number since it is divisible by the number (18) 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 113544631728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184321180368).

113544631728 is an abundant number, since it is smaller than the sum of its proper divisors (255097729008).

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

113544631728 is a wasteful number, since it uses less digits than its factorization.

113544631728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18372 (or 18363 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 113544631728 in words is "one hundred thirteen billion, five hundred forty-four million, six hundred thirty-one thousand, seven hundred twenty-eight".