21845970432 has 640 divisors, whose sum is σ = 78040005120. Its totient is φ = 5945425920.

The previous prime is 21845970403. The next prime is 21845970449. The reversal of 21845970432 is 23407954812.

21845970432 is a `hidden beast` number, since 2 + 18 + 4 + 597 + 0 + 43 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85003648 + ... + 85003904.

It is an arithmetic number, because the mean of its divisors is an integer number (121937508).

Almost surely, 2^21845970432 is an apocalyptic number.

21845970432 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 21845970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39020002560).

21845970432 is an abundant number, since it is smaller than the sum of its proper divisors (56194034688).

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

21845970432 is a wasteful number, since it uses less digits than its factorization.

21845970432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 21845970432 in words is "twenty-one billion, eight hundred forty-five million, nine hundred seventy thousand, four hundred thirty-two".