13901663470464 has 1152 divisors, whose sum is σ = 52122785644800. Its totient is φ = 3587659776000.

The previous prime is 13901663470397. The next prime is 13901663470489. The reversal of 13901663470464 is 46407436610931.

13901663470464 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 166 + 3 + 470 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13901663470464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11575073064 + ... + 11575074264.

It is an arithmetic number, because the mean of its divisors is an integer number (45245473650).

Almost surely, 2^{13901663470464} is an apocalyptic number.

13901663470464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13901663470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26061392822400).

13901663470464 is an abundant number, since it is smaller than the sum of its proper divisors (38221122174336).

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

13901663470464 is an equidigital number, since it uses as much as digits as its factorization.

13901663470464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1403 counting only the distinct ones).

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

The spelling of 13901663470464 in words is "thirteen trillion, nine hundred one billion, six hundred sixty-three million, four hundred seventy thousand, four hundred sixty-four".