22812261454080 has 864 divisors, whose sum is σ = 91638942280704. Its totient is φ = 5131408195584.

The previous prime is 22812261454063. The next prime is 22812261454097. The reversal of 22812261454080 is 8045416221822.

It is a happy number.

22812261454080 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 2 + 26 + 1 + 4 + 540 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (22812261454063) and next prime (22812261454097).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10951636719 + ... + 10951638801.

Almost surely, 2^{22812261454080} is an apocalyptic number.

22812261454080 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 22812261454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45819471140352).

22812261454080 is an abundant number, since it is smaller than the sum of its proper divisors (68826680826624).

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

22812261454080 is a wasteful number, since it uses less digits than its factorization.

22812261454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 22812261454080 in words is "twenty-two trillion, eight hundred twelve billion, two hundred sixty-one million, four hundred fifty-four thousand, eighty".