972111414825 has 48 divisors (see below), whose sum is σ = 1879794417600. Its totient is φ = 491172076800.

The previous prime is 972111414809. The next prime is 972111414829. The reversal of 972111414825 is 528414111279.

It is a happy number.

972111414825 is a `hidden beast` number, since 9 + 7 + 21 + 1 + 141 + 482 + 5 = 666.

It is not a de Polignac number, because 972111414825 - 2⁴ = 972111414809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (972111414829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37886256 + ... + 37911905.

It is an arithmetic number, because the mean of its divisors is an integer number (39162383700).

Almost surely, 2^972111414825 is an apocalyptic number.

972111414825 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

972111414825 is a deficient number, since it is larger than the sum of its proper divisors (907683002775).

972111414825 is a wasteful number, since it uses less digits than its factorization.

972111414825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75798199 (or 75798188 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 972111414825 in words is "nine hundred seventy-two billion, one hundred eleven million, four hundred fourteen thousand, eight hundred twenty-five".