116265752064 has 360 divisors, whose sum is σ = 421532551440. Its totient is φ = 30197882880.

The previous prime is 116265752063. The next prime is 116265752081. The reversal of 116265752064 is 460257562611.

116265752064 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 65 + 7 + 520 + 64 = 666.

It is a super-3 number, since 3×116265752064³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116265752063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3888082 + ... + 3917870.

It is an arithmetic number, because the mean of its divisors is an integer number (1170923754).

Almost surely, 2^116265752064 is an apocalyptic number.

116265752064 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 116265752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210766275720).

116265752064 is an abundant number, since it is smaller than the sum of its proper divisors (305266799376).

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

116265752064 is a wasteful number, since it uses less digits than its factorization.

116265752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29842 (or 29812 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 116265752064 in words is "one hundred sixteen billion, two hundred sixty-five million, seven hundred fifty-two thousand, sixty-four".