117437071104000 has 1728 divisors, whose sum is σ = 454900374583200. Its totient is φ = 30224130048000.

The previous prime is 117437071103969. The next prime is 117437071104013. The reversal of 117437071104000 is 401170734711.

It is a happy number.

117437071104000 is a `hidden beast` number, since 1 + 1 + 74 + 3 + 70 + 7 + 110 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48708862795 + ... + 48708865205.

Almost surely, 2^{117437071104000} is an apocalyptic number.

117437071104000 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 117437071104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227450187291600).

117437071104000 is an abundant number, since it is smaller than the sum of its proper divisors (337463303479200).

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

117437071104000 is an frugal number, since it uses more digits than its factorization.

117437071104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The spelling of 117437071104000 in words is "one hundred seventeen trillion, four hundred thirty-seven billion, seventy-one million, one hundred four thousand".