117973102464 has 576 divisors, whose sum is σ = 430137162000. Its totient is φ = 30823317504.

The previous prime is 117973102451. The next prime is 117973102501. The reversal of 117973102464 is 464201379711.

It is a happy number.

117973102464 is a `hidden beast` number, since 1 + 1 + 7 + 97 + 310 + 246 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31100952 + ... + 31104744.

Almost surely, 2^117973102464 is an apocalyptic number.

117973102464 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 117973102464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215068581000).

117973102464 is an abundant number, since it is smaller than the sum of its proper divisors (312164059536).

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

117973102464 is a wasteful number, since it uses less digits than its factorization.

117973102464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 117973102464 in words is "one hundred seventeen billion, nine hundred seventy-three million, one hundred two thousand, four hundred sixty-four".