22946353920 has 576 divisors, whose sum is σ = 94289556480. Its totient is φ = 5240401920.

The previous prime is 22946353909. The next prime is 22946353921. The reversal of 22946353920 is 2935364922.

22946353920 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 635 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22946353921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19594935 + ... + 19596105.

Almost surely, 2^22946353920 is an apocalyptic number.

22946353920 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 22946353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47144778240).

22946353920 is an abundant number, since it is smaller than the sum of its proper divisors (71343202560).

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

22946353920 is an frugal number, since it uses more digits than its factorization.

22946353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 22946353920 in words is "twenty-two billion, nine hundred forty-six million, three hundred fifty-three thousand, nine hundred twenty".