13451964606864 has 405 divisors, whose sum is σ = 44793049087137. Its totient is φ = 3757594466304.

The previous prime is 13451964606823. The next prime is 13451964606869. The reversal of 13451964606864 is 46860646915431.

The square root of 13451964606864 is 3667692.

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

13451964606864 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 96 + 460 + 6 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 259378341264 + 13192586265600 = 509292^2 + 3632160^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13451964606869) 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, 14480047552 + ... + 14480048480.

Almost surely, 2^{13451964606864} is an apocalyptic number.

13451964606864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13451964606864 is the 3667692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13451964606864

13451964606864 is an abundant number, since it is smaller than the sum of its proper divisors (31341084480273).

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

13451964606864 is an frugal number, since it uses more digits than its factorization.

13451964606864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 13451964606864 in words is "thirteen trillion, four hundred fifty-one billion, nine hundred sixty-four million, six hundred six thousand, eight hundred sixty-four".