22948026624 has 144 divisors (see below), whose sum is σ = 70812336000. Its totient is φ = 7316711424.

The previous prime is 22948026593. The next prime is 22948026643. The reversal of 22948026624 is 42662084922.

22948026624 is a `hidden beast` number, since 2 + 294 + 80 + 266 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×22948026624² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22948026624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86802 + ... + 231150.

Almost surely, 2^22948026624 is an apocalyptic number.

22948026624 is a gapful number since it is divisible by the number (24) 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 22948026624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35406168000).

22948026624 is an abundant number, since it is smaller than the sum of its proper divisors (47864309376).

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

22948026624 is a wasteful number, since it uses less digits than its factorization.

22948026624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144397 (or 144377 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 22948026624 in words is "twenty-two billion, nine hundred forty-eight million, twenty-six thousand, six hundred twenty-four".