113887488000 has 1536 divisors, whose sum is σ = 479084336640. Its totient is φ = 23592960000.

The previous prime is 113887487981. The next prime is 113887488007. The reversal of 113887488000 is 884788311.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113887488007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1867007970 + ... + 1867008030.

It is an arithmetic number, because the mean of its divisors is an integer number (311903865).

Almost surely, 2^113887488000 is an apocalyptic number.

113887488000 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 113887488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239542168320).

113887488000 is an abundant number, since it is smaller than the sum of its proper divisors (365196848640).

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

113887488000 is a wasteful number, since it uses less digits than its factorization.

113887488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The spelling of 113887488000 in words is "one hundred thirteen billion, eight hundred eighty-seven million, four hundred eighty-eight thousand".