22983645124440 has 1280 divisors, whose sum is σ = 107067374346240. Its totient is φ = 4266224640000.

The previous prime is 22983645124417. The next prime is 22983645124459. The reversal of 22983645124440 is 4442154638922.

22983645124440 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 36 + 45 + 124 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 100426140 + ... + 100654740.

It is an arithmetic number, because the mean of its divisors is an integer number (83646386208).

Almost surely, 2^{22983645124440} is an apocalyptic number.

22983645124440 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 22983645124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53533687173120).

22983645124440 is an abundant number, since it is smaller than the sum of its proper divisors (84083729221800).

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

22983645124440 is a wasteful number, since it uses less digits than its factorization.

22983645124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228686 (or 228673 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 22983645124440 in words is "twenty-two trillion, nine hundred eighty-three billion, six hundred forty-five million, one hundred twenty-four thousand, four hundred forty".