21131614946304 has 528 divisors, whose sum is σ = 67357265893632. Its totient is φ = 6353067442176.

The previous prime is 21131614946303. The next prime is 21131614946413. The reversal of 21131614946304 is 40364941613112.

21131614946304 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 1 + 6 + 1 + 4 + 9 + 4 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21131614946304.

It is not an unprimeable number, because it can be changed into a prime (21131614946303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357025897 + ... + 357085079.

It is an arithmetic number, because the mean of its divisors is an integer number (127570579344).

Almost surely, 2^{21131614946304} is an apocalyptic number.

21131614946304 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 21131614946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33678632946816).

21131614946304 is an abundant number, since it is smaller than the sum of its proper divisors (46225650947328).

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

21131614946304 is a wasteful number, since it uses less digits than its factorization.

21131614946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59322 (or 59301 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21131614946304 in words is "twenty-one trillion, one hundred thirty-one billion, six hundred fourteen million, nine hundred forty-six thousand, three hundred four".