117038016000 has 480 divisors, whose sum is σ = 428588256096. Its totient is φ = 30689280000.

The previous prime is 117038015999. The next prime is 117038016019. The reversal of 117038016000 is 610830711.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35134335 + ... + 35137665.

Almost surely, 2^117038016000 is an apocalyptic number.

117038016000 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 117038016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214294128048).

117038016000 is an abundant number, since it is smaller than the sum of its proper divisors (311550240096).

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

117038016000 is an equidigital number, since it uses as much as digits as its factorization.

117038016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 117038016000 its reverse (610830711), we get a palindrome (117648846711).

The spelling of 117038016000 in words is "one hundred seventeen billion, thirty-eight million, sixteen thousand".