117219311664 has 320 divisors, whose sum is σ = 396384629760. Its totient is φ = 28983951360.

The previous prime is 117219311639. The next prime is 117219311701. The reversal of 117219311664 is 466113912711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8042944 + ... + 8057504.

It is an arithmetic number, because the mean of its divisors is an integer number (1238701968).

Almost surely, 2^117219311664 is an apocalyptic number.

117219311664 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 117219311664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198192314880).

117219311664 is an abundant number, since it is smaller than the sum of its proper divisors (279165318096).

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

117219311664 is a wasteful number, since it uses less digits than its factorization.

117219311664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14708 (or 14702 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The spelling of 117219311664 in words is "one hundred seventeen billion, two hundred nineteen million, three hundred eleven thousand, six hundred sixty-four".