22461290160 has 80 divisors (see below), whose sum is σ = 69728736480. Its totient is φ = 5981184000.

The previous prime is 22461290153. The next prime is 22461290167. The reversal of 22461290160 is 6109216422.

It is an interprime number because it is at equal distance from previous prime (22461290153) and next prime (22461290167).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22461290167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104160 + ... + 236160.

It is an arithmetic number, because the mean of its divisors is an integer number (871609206).

Almost surely, 2^22461290160 is an apocalyptic number.

22461290160 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 22461290160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34864368240).

22461290160 is an abundant number, since it is smaller than the sum of its proper divisors (47267446320).

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

22461290160 is a wasteful number, since it uses less digits than its factorization.

22461290160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132726 (or 132720 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 22461290160 in words is "twenty-two billion, four hundred sixty-one million, two hundred ninety thousand, one hundred sixty".