1356125462784 has 135 divisors (see below), whose sum is σ = 4044220839967. Its totient is φ = 451985923584.

The previous prime is 1356125462761. The next prime is 1356125462807. The reversal of 1356125462784 is 4872645216531.

The square root of 1356125462784 is 1164528.

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

1356125462784 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 1 + 2 + 5 + 4 + 627 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1356125462761) and next prime (1356125462807).

It is a super-2 number, since 2×1356125462784² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 1356125462784.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 167687989 + ... + 167696075.

Almost surely, 2^{1356125462784} is an apocalyptic number.

1356125462784 is the 1164528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356125462784

1356125462784 is an abundant number, since it is smaller than the sum of its proper divisors (2688095377183).

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

1356125462784 is an frugal number, since it uses more digits than its factorization.

1356125462784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16202 (or 8092 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 1356125462784 in words is "one trillion, three hundred fifty-six billion, one hundred twenty-five million, four hundred sixty-two thousand, seven hundred eighty-four".