1225874124864 has 63 divisors (see below), whose sum is σ = 3513823007773. Its totient is φ = 408615850752.

The previous prime is 1225874124851. The next prime is 1225874124901. The reversal of 1225874124864 is 4684214785221.

The square root of 1225874124864 is 1107192.

It is a perfect power (a square), and thus also a powerful number.

1225874124864 is a `hidden beast` number, since 1 + 2 + 2 + 587 + 4 + 12 + 48 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 724881960000 + 500992164864 = 851400^2 + 707808^2 .

It is a super-2 number, since 2×1225874124864² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1225874124864.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26549542 + ... + 26595674.

Almost surely, 2^{1225874124864} is an apocalyptic number.

1225874124864 is the 1107192-nd square number.

It is an amenable number.

1225874124864 is an abundant number, since it is smaller than the sum of its proper divisors (2287948882909).

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

1225874124864 is an frugal number, since it uses more digits than its factorization.

1225874124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92284 (or 46138 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 1225874124864 in words is "one trillion, two hundred twenty-five billion, eight hundred seventy-four million, one hundred twenty-four thousand, eight hundred sixty-four".