14963867450840 has 384 divisors, whose sum is σ = 43739000524800. Its totient is φ = 4505329382400.

The previous prime is 14963867450837. The next prime is 14963867450849. The reversal of 14963867450840 is 4805476836941.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14963867450849) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 584993171 + ... + 585018749.

It is an arithmetic number, because the mean of its divisors is an integer number (113903647200).

Almost surely, 2^{14963867450840} is an apocalyptic number.

14963867450840 is a gapful number since it is divisible by the number (10) 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 14963867450840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21869500262400).

14963867450840 is an abundant number, since it is smaller than the sum of its proper divisors (28775133073960).

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

14963867450840 is a wasteful number, since it uses less digits than its factorization.

14963867450840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26207 (or 26192 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 65.

The spelling of 14963867450840 in words is "fourteen trillion, nine hundred sixty-three billion, eight hundred sixty-seven million, four hundred fifty thousand, eight hundred forty".