117337012079616 has 1056 divisors, whose sum is σ = 407579722444800. Its totient is φ = 33248215203840.

The previous prime is 117337012079587. The next prime is 117337012079621. The reversal of 117337012079616 is 616970210733711.

It is a happy number.

117337012079616 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 3 + 7 + 0 + 12 + 0 + 7 + 9 + 616 = 666.

It is a super-2 number, since 2×117337012079616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141540424290 + ... + 141540425118.

Almost surely, 2^{117337012079616} is an apocalyptic number.

117337012079616 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 117337012079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203789861222400).

117337012079616 is an abundant number, since it is smaller than the sum of its proper divisors (290242710365184).

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

117337012079616 is a wasteful number, since it uses less digits than its factorization.

117337012079616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 117337012079616 in words is "one hundred seventeen trillion, three hundred thirty-seven billion, twelve million, seventy-nine thousand, six hundred sixteen".