21313629705004 has 144 divisors (see below), whose sum is σ = 47337934049280. Its totient is φ = 8321439934080.

The previous prime is 21313629704977. The next prime is 21313629705031. The reversal of 21313629705004 is 40050792631312.

It is an interprime number because it is at equal distance from previous prime (21313629704977) and next prime (21313629705031).

It is a super-2 number, since 2×21313629705004² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492539889 + ... + 492583159.

It is an arithmetic number, because the mean of its divisors is an integer number (328735653120).

Almost surely, 2^{21313629705004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313629705004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23668967024640).

21313629705004 is an abundant number, since it is smaller than the sum of its proper divisors (26024304344276).

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

21313629705004 is a wasteful number, since it uses less digits than its factorization.

21313629705004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45828 (or 45819 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 21313629705004 in words is "twenty-one trillion, three hundred thirteen billion, six hundred twenty-nine million, seven hundred five thousand, four".