22464883913472 has 3456 divisors, whose sum is σ = 96676660684800. Its totient is φ = 4989061693440.

The previous prime is 22464883913471. The next prime is 22464883913533. The reversal of 22464883913472 is 27431938846422.

22464883913472 is a `hidden beast` number, since 2 + 2 + 46 + 4 + 88 + 39 + 13 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22464883913471) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 125502144679 + ... + 125502144857.

It is an arithmetic number, because the mean of its divisors is an integer number (27973570800).

Almost surely, 2^{22464883913472} is an apocalyptic number.

22464883913472 is a gapful number since it is divisible by the number (22) 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 22464883913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48338330342400).

22464883913472 is an abundant number, since it is smaller than the sum of its proper divisors (74211776771328).

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

22464883913472 is a wasteful number, since it uses less digits than its factorization.

22464883913472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 329 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 22464883913472 in words is "twenty-two trillion, four hundred sixty-four billion, eight hundred eighty-three million, nine hundred thirteen thousand, four hundred seventy-two".