13914385464 has 256 divisors, whose sum is σ = 42501242880. Its totient is φ = 3711951360.

The previous prime is 13914385439. The next prime is 13914385469. The reversal of 13914385464 is 46458341931.

It is a super-2 number, since 2×13914385464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13914385469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31409227 + ... + 31409669.

It is an arithmetic number, because the mean of its divisors is an integer number (166020480).

Almost surely, 2^13914385464 is an apocalyptic number.

13914385464 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 13914385464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250621440).

13914385464 is an abundant number, since it is smaller than the sum of its proper divisors (28586857416).

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

13914385464 is a wasteful number, since it uses less digits than its factorization.

13914385464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 13914385464 in words is "thirteen billion, nine hundred fourteen million, three hundred eighty-five thousand, four hundred sixty-four".