1456766925156 has 81 divisors (see below), whose sum is σ = 3912066245451. Its totient is φ = 456986294784.

The previous prime is 1456766925143. The next prime is 1456766925157. The reversal of 1456766925156 is 6515296676541.

The square root of 1456766925156 is 1206966.

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

1456766925156 is a `hidden beast` number, since 1 + 4 + 56 + 7 + 6 + 69 + 2 + 515 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 809578854756 + 647188070400 = 899766^2 + 804480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1456766925093 and 1456766925102.

It is not an unprimeable number, because it can be changed into a prime (1456766925157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123104616 + ... + 123116448.

Almost surely, 2^{1456766925156} is an apocalyptic number.

1456766925156 is the 1206966-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1456766925156

1456766925156 is an abundant number, since it is smaller than the sum of its proper divisors (2455299320295).

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

1456766925156 is an equidigital number, since it uses as much as digits as its factorization.

1456766925156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23710 (or 11855 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 1456766925156 in words is "one trillion, four hundred fifty-six billion, seven hundred sixty-six million, nine hundred twenty-five thousand, one hundred fifty-six".