21614791464 has 128 divisors (see below), whose sum is σ = 68706892800. Its totient is φ = 6167689920.

The previous prime is 21614791459. The next prime is 21614791501. The reversal of 21614791464 is 46419741612.

21614791464 is a `hidden beast` number, since 2 + 1 + 61 + 47 + 91 + 464 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217419 + ... + 1235045.

It is an arithmetic number, because the mean of its divisors is an integer number (536772600).

Almost surely, 2^21614791464 is an apocalyptic number.

21614791464 is a gapful number since it is divisible by the number (24) 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 21614791464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34353446400).

21614791464 is an abundant number, since it is smaller than the sum of its proper divisors (47092101336).

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

21614791464 is a wasteful number, since it uses less digits than its factorization.

21614791464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18460 (or 18450 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 21614791464 in words is "twenty-one billion, six hundred fourteen million, seven hundred ninety-one thousand, four hundred sixty-four".