21374129664 has 200 divisors, whose sum is σ = 64050275520. Its totient is φ = 7096356864.

The previous prime is 21374129659. The next prime is 21374129677. The reversal of 21374129664 is 46692147312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12150417 + ... + 12152175.

Almost surely, 2^21374129664 is an apocalyptic number.

21374129664 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 21374129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32025137760).

21374129664 is an abundant number, since it is smaller than the sum of its proper divisors (42676145856).

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

21374129664 is an equidigital number, since it uses as much as digits as its factorization.

21374129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2057 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 21374129664 in words is "twenty-one billion, three hundred seventy-four million, one hundred twenty-nine thousand, six hundred sixty-four".