116515478016 has 720 divisors, whose sum is σ = 423303978240. Its totient is φ = 30181294080.

The previous prime is 116515477979. The next prime is 116515478081. The reversal of 116515478016 is 610874515611.

116515478016 is a `hidden beast` number, since 1 + 1 + 6 + 515 + 47 + 80 + 16 = 666.

116515478016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270337321 + ... + 270337751.

It is an arithmetic number, because the mean of its divisors is an integer number (587922192).

Almost surely, 2^116515478016 is an apocalyptic number.

116515478016 is a gapful number since it is divisible by the number (16) 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 116515478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211651989120).

116515478016 is an abundant number, since it is smaller than the sum of its proper divisors (306788500224).

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

116515478016 is a wasteful number, since it uses less digits than its factorization.

116515478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 116515478016 in words is "one hundred sixteen billion, five hundred fifteen million, four hundred seventy-eight thousand, sixteen".