972000000000049 has 64 divisors (see below), whose sum is σ = 1038431872614400. Its totient is φ = 908493082963200.

The previous prime is 971999999999999. The next prime is 972000000000079. The reversal of 972000000000049 is 940000000000279.

It is a cyclic number.

It is not a de Polignac number, because 972000000000049 - 2¹⁹ = 971999999475761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 972000000000049.

It is not an unprimeable number, because it can be changed into a prime (972000000000079) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23742621022 + ... + 23742661960.

It is an arithmetic number, because the mean of its divisors is an integer number (16225498009600).

Almost surely, 2^{972000000000049} is an apocalyptic number.

It is an amenable number.

972000000000049 is a deficient number, since it is larger than the sum of its proper divisors (66431872614351).

972000000000049 is a wasteful number, since it uses less digits than its factorization.

972000000000049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42174.

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 972000000000049 in words is "nine hundred seventy-two trillion, forty-nine", and thus it is an aban number.