22345162400 has 288 divisors, whose sum is σ = 62710236288. Its totient is φ = 7695564800.

The previous prime is 22345162381. The next prime is 22345162409. The reversal of 22345162400 is 426154322.

It is not an unprimeable number, because it can be changed into a prime (22345162409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22870712 + ... + 22871688.

It is an arithmetic number, because the mean of its divisors is an integer number (217743876).

Almost surely, 2^22345162400 is an apocalyptic number.

22345162400 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 22345162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31355118144).

22345162400 is an abundant number, since it is smaller than the sum of its proper divisors (40365073888).

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

22345162400 is a wasteful number, since it uses less digits than its factorization.

22345162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 22345162400 in words is "twenty-two billion, three hundred forty-five million, one hundred sixty-two thousand, four hundred".