21022971138624 has 448 divisors, whose sum is σ = 70335494738432. Its totient is φ = 5392687104000.

The previous prime is 21022971138613. The next prime is 21022971138731. The reversal of 21022971138624 is 42683117922012.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×21022971138624² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 2715791394 + ... + 2715799134.

It is an arithmetic number, because the mean of its divisors is an integer number (156998872184).

Almost surely, 2^{21022971138624} is an apocalyptic number.

21022971138624 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 21022971138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35167747369216).

21022971138624 is an abundant number, since it is smaller than the sum of its proper divisors (49312523599808).

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

21022971138624 is a wasteful number, since it uses less digits than its factorization.

21022971138624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 21022971138624 in words is "twenty-one trillion, twenty-two billion, nine hundred seventy-one million, one hundred thirty-eight thousand, six hundred twenty-four".