21846625164 has 576 divisors, whose sum is σ = 75143577600. Its totient is φ = 5193745920.

The previous prime is 21846625147. The next prime is 21846625189. The reversal of 21846625164 is 46152664812.

It is a happy number.

21846625164 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 6 + 625 + 16 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109781937 + ... + 109782135.

It is an arithmetic number, because the mean of its divisors is an integer number (130457600).

Almost surely, 2^21846625164 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 21846625164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37571788800).

21846625164 is an abundant number, since it is smaller than the sum of its proper divisors (53296952436).

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

21846625164 is a wasteful number, since it uses less digits than its factorization.

21846625164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 21846625164 in words is "twenty-one billion, eight hundred forty-six million, six hundred twenty-five thousand, one hundred sixty-four".