117982029078144 has 768 divisors, whose sum is σ = 439554126735360. Its totient is φ = 30602976768000.

The previous prime is 117982029078107. The next prime is 117982029078191. The reversal of 117982029078144 is 441870920289711.

117982029078144 is a `hidden beast` number, since 117 + 9 + 8 + 20 + 290 + 78 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1779457794 + ... + 1779524094.

It is an arithmetic number, because the mean of its divisors is an integer number (572336102520).

Almost surely, 2^{117982029078144} is an apocalyptic number.

117982029078144 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 117982029078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219777063367680).

117982029078144 is an abundant number, since it is smaller than the sum of its proper divisors (321572097657216).

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

117982029078144 is an equidigital number, since it uses as much as digits as its factorization.

117982029078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67091 (or 67067 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 117982029078144 in words is "one hundred seventeen trillion, nine hundred eighty-two billion, twenty-nine million, seventy-eight thousand, one hundred forty-four".