117921877145856 has 1755 divisors, whose sum is σ = 434715402375051. Its totient is φ = 31918703588352.

The previous prime is 117921877145833. The next prime is 117921877145857. The reversal of 117921877145856 is 658541778129711.

The square root of 117921877145856 is 10859184.

It is a perfect power (a square), and thus also a powerful number.

117921877145856 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 21 + 8 + 7 + 7 + 14 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (117921877145857) by changing a digit.

It is a polite number, since it can be written in 194 ways as a sum of consecutive naturals, for example, 6206414586615 + ... + 6206414586633.

Almost surely, 2^{117921877145856} is an apocalyptic number.

117921877145856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117921877145856 is the 10859184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117921877145856

117921877145856 is an abundant number, since it is smaller than the sum of its proper divisors (316793525229195).

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

117921877145856 is an frugal number, since it uses more digits than its factorization.

117921877145856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 31 counting only the distinct ones).

The product of its digits is 237081600, while the sum is 72.

The spelling of 117921877145856 in words is "one hundred seventeen trillion, nine hundred twenty-one billion, eight hundred seventy-seven million, one hundred forty-five thousand, eight hundred fifty-six".