13489818451956 has 768 divisors, whose sum is σ = 47247463710720. Its totient is φ = 3221215395840.

The previous prime is 13489818451933. The next prime is 13489818451969. The reversal of 13489818451956 is 65915481898431.

13489818451956 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 9 + 81 + 8 + 451 + 95 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1745798965 + ... + 1745806691.

It is an arithmetic number, because the mean of its divisors is an integer number (61520135040).

Almost surely, 2^{13489818451956} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13489818451956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23623731855360).

13489818451956 is an abundant number, since it is smaller than the sum of its proper divisors (33757645258764).

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

13489818451956 is a wasteful number, since it uses less digits than its factorization.

13489818451956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8061 (or 8053 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The spelling of 13489818451956 in words is "thirteen trillion, four hundred eighty-nine billion, eight hundred eighteen million, four hundred fifty-one thousand, nine hundred fifty-six".