13974462820864 has 160 divisors (see below), whose sum is σ = 34371023613696. Its totient is φ = 5527403642880.

The previous prime is 13974462820861. The next prime is 13974462820907. The reversal of 13974462820864 is 46802826447931.

It is a super-2 number, since 2×13974462820864² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 13974462820796 and 13974462820805.

It is not an unprimeable number, because it can be changed into a prime (13974462820861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309208509 + ... + 309253699.

Almost surely, 2^{13974462820864} is an apocalyptic number.

13974462820864 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 13974462820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17185511806848).

13974462820864 is an abundant number, since it is smaller than the sum of its proper divisors (20396560792832).

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

13974462820864 is an equidigital number, since it uses as much as digits as its factorization.

13974462820864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51866 (or 51850 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 64.

The spelling of 13974462820864 in words is "thirteen trillion, nine hundred seventy-four billion, four hundred sixty-two million, eight hundred twenty thousand, eight hundred sixty-four".