21945614160 has 320 divisors, whose sum is σ = 74848637952. Its totient is φ = 5296693248.

The previous prime is 21945614129. The next prime is 21945614231. The reversal of 21945614160 is 6141654912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11753547 + ... + 11755413.

Almost surely, 2^21945614160 is an apocalyptic number.

21945614160 is a gapful number since it is divisible by the number (20) 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 21945614160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37424318976).

21945614160 is an abundant number, since it is smaller than the sum of its proper divisors (52903023792).

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

21945614160 is a wasteful number, since it uses less digits than its factorization.

21945614160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 21945614160 in words is "twenty-one billion, nine hundred forty-five million, six hundred fourteen thousand, one hundred sixty".