13910206464 has 672 divisors, whose sum is σ = 52420979520. Its totient is φ = 3613040640.

The previous prime is 13910206441. The next prime is 13910206487. The reversal of 13910206464 is 46460201931.

13910206464 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 0 + 2 + 0 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13910206441) and next prime (13910206487).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×13910206464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1264564219 + ... + 1264564229.

It is an arithmetic number, because the mean of its divisors is an integer number (78007410).

Almost surely, 2^13910206464 is an apocalyptic number.

13910206464 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 13910206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26210489760).

13910206464 is an abundant number, since it is smaller than the sum of its proper divisors (38510773056).

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

13910206464 is an frugal number, since it uses more digits than its factorization.

13910206464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13910206464 in words is "thirteen billion, nine hundred ten million, two hundred six thousand, four hundred sixty-four".