113519025984 has 672 divisors, whose sum is σ = 394357555200. Its totient is φ = 28531077120.

The previous prime is 113519025923. The next prime is 113519026003. The reversal of 113519025984 is 489520915311.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299522307 + ... + 299522685.

It is an arithmetic number, because the mean of its divisors is an integer number (586841600).

Almost surely, 2^113519025984 is an apocalyptic number.

113519025984 is a gapful number since it is divisible by the number (14) 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 113519025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197178777600).

113519025984 is an abundant number, since it is smaller than the sum of its proper divisors (280838529216).

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

113519025984 is a wasteful number, since it uses less digits than its factorization.

113519025984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 113519025984 in words is "one hundred thirteen billion, five hundred nineteen million, twenty-five thousand, nine hundred eighty-four".