21222947192832 has 1536 divisors, whose sum is σ = 79971070771200. Its totient is φ = 5444523786240.

The previous prime is 21222947192819. The next prime is 21222947192857. The reversal of 21222947192832 is 23829174922212.

It is a happy number.

21222947192832 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 2 + 9 + 471 + 92 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 95170166673 + ... + 95170166895.

It is an arithmetic number, because the mean of its divisors is an integer number (52064499200).

Almost surely, 2^{21222947192832} is an apocalyptic number.

21222947192832 is a gapful number since it is divisible by the number (22) 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 21222947192832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39985535385600).

21222947192832 is an abundant number, since it is smaller than the sum of its proper divisors (58748123578368).

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

21222947192832 is a wasteful number, since it uses less digits than its factorization.

21222947192832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 373 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 21222947192832 in words is "twenty-one trillion, two hundred twenty-two billion, nine hundred forty-seven million, one hundred ninety-two thousand, eight hundred thirty-two".