116583201407232 has 576 divisors, whose sum is σ = 417275426050560. Its totient is φ = 31343308701696.

The previous prime is 116583201407227. The next prime is 116583201407269. The reversal of 116583201407232 is 232704102385611.

116583201407232 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 8 + 3 + 2 + 0 + 1 + 407 + 232 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4649738248 + ... + 4649763320.

It is an arithmetic number, because the mean of its divisors is an integer number (724436503560).

Almost surely, 2^{116583201407232} is an apocalyptic number.

116583201407232 is a gapful number since it is divisible by the number (12) 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 116583201407232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208637713025280).

116583201407232 is an abundant number, since it is smaller than the sum of its proper divisors (300692224643328).

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

116583201407232 is a wasteful number, since it uses less digits than its factorization.

116583201407232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30775 (or 30755 counting only the distinct ones).

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

The spelling of 116583201407232 in words is "one hundred sixteen trillion, five hundred eighty-three billion, two hundred one million, four hundred seven thousand, two hundred thirty-two".