117544026946752 has 336 divisors, whose sum is σ = 397041818584320. Its totient is φ = 32553350129664.

The previous prime is 117544026946739. The next prime is 117544026946781. The reversal of 117544026946752 is 257649620445711.

117544026946752 is a `hidden beast` number, since 1 + 1 + 7 + 544 + 0 + 26 + 9 + 4 + 67 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 117544026946752.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14423199 + ... + 21050337.

It is an arithmetic number, because the mean of its divisors is an integer number (1181672079120).

Almost surely, 2^{117544026946752} is an apocalyptic number.

117544026946752 is a gapful number since it is divisible by the number (12) 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 117544026946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198520909292160).

117544026946752 is an abundant number, since it is smaller than the sum of its proper divisors (279497791637568).

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

117544026946752 is a wasteful number, since it uses less digits than its factorization.

117544026946752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627300 (or 6627287 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 117544026946752 in words is "one hundred seventeen trillion, five hundred forty-four billion, twenty-six million, nine hundred forty-six thousand, seven hundred fifty-two".