13463974138320 has 120 divisors (see below), whose sum is σ = 45225368954376. Its totient is φ = 3589689913344.

The previous prime is 13463974138319. The next prime is 13463974138327. The reversal of 13463974138320 is 2383147936431.

13463974138320 is a `hidden beast` number, since 1 + 3 + 4 + 63 + 97 + 413 + 83 + 2 + 0 = 666.

13463974138320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 678172014144 + 12785802124176 = 823512^2 + 3575724^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13463974138327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1852692 + ... + 5510028.

Almost surely, 2^{13463974138320} is an apocalyptic number.

13463974138320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13463974138320 is an abundant number, since it is smaller than the sum of its proper divisors (31761394816056).

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

13463974138320 is a wasteful number, since it uses less digits than its factorization.

13463974138320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662469 (or 3662460 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 13463974138320 in words is "thirteen trillion, four hundred sixty-three billion, nine hundred seventy-four million, one hundred thirty-eight thousand, three hundred twenty".