22954014720 has 1728 divisors, whose sum is σ = 110112125760. Its totient is φ = 4359979008.

The previous prime is 22954014691. The next prime is 22954014757. The reversal of 22954014720 is 2741045922.

22954014720 is a `hidden beast` number, since 229 + 5 + 401 + 4 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 998000629 + ... + 998000651.

It is an arithmetic number, because the mean of its divisors is an integer number (63722295).

Almost surely, 2^22954014720 is an apocalyptic number.

22954014720 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 22954014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55056062880).

22954014720 is an abundant number, since it is smaller than the sum of its proper divisors (87158111040).

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

22954014720 is a wasteful number, since it uses less digits than its factorization.

22954014720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 22954014720 in words is "twenty-two billion, nine hundred fifty-four million, fourteen thousand, seven hundred twenty".