117837460416 has 224 divisors, whose sum is σ = 347896281600. Its totient is φ = 34951311360.

The previous prime is 117837460373. The next prime is 117837460463. The reversal of 117837460416 is 614064738711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74627115 + ... + 74628693.

It is an arithmetic number, because the mean of its divisors is an integer number (1553108400).

Almost surely, 2^117837460416 is an apocalyptic number.

117837460416 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 117837460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173948140800).

117837460416 is an abundant number, since it is smaller than the sum of its proper divisors (230058821184).

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

117837460416 is a wasteful number, since it uses less digits than its factorization.

117837460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 117837460416 in words is "one hundred seventeen billion, eight hundred thirty-seven million, four hundred sixty thousand, four hundred sixteen".