13161434783904 has 960 divisors, whose sum is σ = 46293167112192. Its totient is φ = 3621550694400.

The previous prime is 13161434783897. The next prime is 13161434783933. The reversal of 13161434783904 is 40938743416131.

13161434783904 is a `hidden beast` number, since 1 + 3 + 161 + 4 + 3 + 478 + 3 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5754889449 + ... + 5754891735.

Almost surely, 2^{13161434783904} 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 13161434783904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23146583556096).

13161434783904 is an abundant number, since it is smaller than the sum of its proper divisors (33131732328288).

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

13161434783904 is a wasteful number, since it uses less digits than its factorization.

13161434783904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13161434783904 in words is "thirteen trillion, one hundred sixty-one billion, four hundred thirty-four million, seven hundred eighty-three thousand, nine hundred four".