116495216640 has 312 divisors, whose sum is σ = 440517615408. Its totient is φ = 28240773120.

The previous prime is 116495216633. The next prime is 116495216681. The reversal of 116495216640 is 46612594611.

116495216640 is a `hidden beast` number, since 1 + 1 + 64 + 9 + 521 + 6 + 64 + 0 = 666.

It is a super-2 number, since 2×116495216640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1998792 + ... + 2056248.

It is an arithmetic number, because the mean of its divisors is an integer number (1411915434).

Almost surely, 2^116495216640 is an apocalyptic number.

116495216640 is a gapful number since it is divisible by the number (10) 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 116495216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220258807704).

116495216640 is an abundant number, since it is smaller than the sum of its proper divisors (324022398768).

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

116495216640 is a wasteful number, since it uses less digits than its factorization.

116495216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57503 (or 57478 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 116495216640 in words is "one hundred sixteen billion, four hundred ninety-five million, two hundred sixteen thousand, six hundred forty".