13482925456 has 405 divisors, whose sum is σ = 37459108323. Its totient is φ = 4681797120.

The previous prime is 13482925453. The next prime is 13482925459. The reversal of 13482925456 is 65452928431.

The square root of 13482925456 is 116116.

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

It is an interprime number because it is at equal distance from previous prime (13482925453) and next prime (13482925459).

It can be written as a sum of positive squares in 4 ways, for example, as 1728896400 + 11754029056 = 41580^2 + 108416^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (2073600) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (13482925451) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 464928450 + ... + 464928478.

Almost surely, 2^13482925456 is an apocalyptic number.

13482925456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13482925456 is the 116116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13482925456

13482925456 is an abundant number, since it is smaller than the sum of its proper divisors (23976182867).

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

13482925456 is a wasteful number, since it uses less digits than its factorization.

13482925456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 62 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

Multiplying 13482925456 by its sum of digits (49), we get a square (660663347344 = 812812²).

13482925456 divided by its sum of digits (49) gives a square (275161744 = 16588²).

The spelling of 13482925456 in words is "thirteen billion, four hundred eighty-two million, nine hundred twenty-five thousand, four hundred fifty-six".