21332946888 has 128 divisors (see below), whose sum is σ = 64917504000. Its totient is φ = 6437309760.

The previous prime is 21332946841. The next prime is 21332946919. The reversal of 21332946888 is 88864923312.

21332946888 is a `hidden beast` number, since 213 + 3 + 294 + 68 + 88 = 666.

It is a super-4 number, since 4×21332946888⁴ (a number of 42 digits) contains 4444 as substring.

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 31 ways as a sum of consecutive naturals, for example, 549081 + ... + 586647.

It is an arithmetic number, because the mean of its divisors is an integer number (507168000).

Almost surely, 2^21332946888 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 21332946888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32458752000).

21332946888 is an abundant number, since it is smaller than the sum of its proper divisors (43584557112).

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

21332946888 is a wasteful number, since it uses less digits than its factorization.

21332946888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37832 (or 37822 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 21332946888 in words is "twenty-one billion, three hundred thirty-two million, nine hundred forty-six thousand, eight hundred eighty-eight".