116513639424 has 792 divisors, whose sum is σ = 428109252480. Its totient is φ = 30247354368.

The previous prime is 116513639423. The next prime is 116513639441. The reversal of 116513639424 is 424936315611.

116513639424 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 1 + 3 + 639 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116513639424.

It is not an unprimeable number, because it can be changed into a prime (116513639423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 522482577 + ... + 522482799.

Almost surely, 2^116513639424 is an apocalyptic number.

116513639424 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 116513639424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214054626240).

116513639424 is an abundant number, since it is smaller than the sum of its proper divisors (311595613056).

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

116513639424 is a wasteful number, since it uses less digits than its factorization.

116513639424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 337 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 116513639424 in words is "one hundred sixteen billion, five hundred thirteen million, six hundred thirty-nine thousand, four hundred twenty-four".