113211501984 has 480 divisors, whose sum is σ = 401762592000. Its totient is φ = 31223646720.

The previous prime is 113211501947. The next prime is 113211502051. The reversal of 113211501984 is 489105112311.

113211501984 is a `hidden beast` number, since 1 + 132 + 11 + 501 + 9 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25780429 + ... + 25784819.

It is an arithmetic number, because the mean of its divisors is an integer number (837005400).

Almost surely, 2^113211501984 is an apocalyptic number.

113211501984 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 113211501984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200881296000).

113211501984 is an abundant number, since it is smaller than the sum of its proper divisors (288551090016).

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

113211501984 is an equidigital number, since it uses as much as digits as its factorization.

113211501984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 113211501984 in words is "one hundred thirteen billion, two hundred eleven million, five hundred one thousand, nine hundred eighty-four".