22946068800 has 420 divisors, whose sum is σ = 85227656316. Its totient is φ = 6054912000.

The previous prime is 22946068727. The next prime is 22946068807. The reversal of 22946068800 is 886064922.

It can be written as a sum of positive squares in 6 ways, for example, as 561121344 + 22384947456 = 23688^2 + 149616^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22946068807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13088724 + ... + 13090476.

Almost surely, 2^22946068800 is an apocalyptic number.

22946068800 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 22946068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42613828158).

22946068800 is an abundant number, since it is smaller than the sum of its proper divisors (62281587516).

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

22946068800 is a wasteful number, since it uses less digits than its factorization.

22946068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 22946068800 in words is "twenty-two billion, nine hundred forty-six million, sixty-eight thousand, eight hundred".