13451656522500 has 675 divisors, whose sum is σ = 49668131884371. Its totient is φ = 3068502696000.

The previous prime is 13451656522457. The next prime is 13451656522501. The reversal of 13451656522500 is 522565615431.

The square root of 13451656522500 is 3667650.

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

13451656522500 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 65 + 65 + 22 + 500 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1054609871364 + 12397046651136 = 1026942^2 + 3520944^2 .

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 (13451656522501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 26957227251 + ... + 26957227749.

Almost surely, 2^{13451656522500} is an apocalyptic number.

13451656522500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13451656522500 is the 3667650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13451656522500

13451656522500 is an abundant number, since it is smaller than the sum of its proper divisors (36216475361871).

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

13451656522500 is an frugal number, since it uses more digits than its factorization.

13451656522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 13451656522500 in words is "thirteen trillion, four hundred fifty-one billion, six hundred fifty-six million, five hundred twenty-two thousand, five hundred".