117279477504 has 360 divisors, whose sum is σ = 408191443968. Its totient is φ = 32793569280.

The previous prime is 117279477493. The next prime is 117279477613. The reversal of 117279477504 is 405774972711.

117279477504 is a `hidden beast` number, since 117 + 2 + 7 + 9 + 477 + 50 + 4 = 666.

It is a super-2 number, since 2×117279477504² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6813549 + ... + 6830739.

Almost surely, 2^117279477504 is an apocalyptic number.

117279477504 is a gapful number since it is divisible by the number (14) 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 117279477504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204095721984).

117279477504 is an abundant number, since it is smaller than the sum of its proper divisors (290911966464).

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

117279477504 is an equidigital number, since it uses as much as digits as its factorization.

117279477504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17273 (or 17250 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 117279477504 in words is "one hundred seventeen billion, two hundred seventy-nine million, four hundred seventy-seven thousand, five hundred four".