117877457964001 has 16 divisors (see below), whose sum is σ = 121636765742400. Its totient is φ = 114179978723328.

The previous prime is 117877457963987. The next prime is 117877457964043. The reversal of 117877457964001 is 100469754778711.

It is a cyclic number.

It is not a de Polignac number, because 117877457964001 - 2⁷ = 117877457963873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117877457964901) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9040416 + ... + 17818081.

It is an arithmetic number, because the mean of its divisors is an integer number (7602297858900).

Almost surely, 2^{117877457964001} is an apocalyptic number.

It is an amenable number.

117877457964001 is a deficient number, since it is larger than the sum of its proper divisors (3759307778399).

117877457964001 is a wasteful number, since it uses less digits than its factorization.

117877457964001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26859648.

The product of its (nonzero) digits is 82978560, while the sum is 67.

The spelling of 117877457964001 in words is "one hundred seventeen trillion, eight hundred seventy-seven billion, four hundred fifty-seven million, nine hundred sixty-four thousand, one".