22530486956544 has 1920 divisors, whose sum is σ = 85087411200000. Its totient is φ = 5846676111360.

The previous prime is 22530486956543. The next prime is 22530486956573. The reversal of 22530486956544 is 44565968403522.

22530486956544 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 0 + 4 + 8 + 69 + 565 + 4 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22530486956543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59447194947 + ... + 59447195325.

It is an arithmetic number, because the mean of its divisors is an integer number (44316360000).

Almost surely, 2^{22530486956544} is an apocalyptic number.

22530486956544 is a gapful number since it is divisible by the number (24) 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 22530486956544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42543705600000).

22530486956544 is an abundant number, since it is smaller than the sum of its proper divisors (62556924243456).

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

22530486956544 is a wasteful number, since it uses less digits than its factorization.

22530486956544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 22530486956544 in words is "twenty-two trillion, five hundred thirty billion, four hundred eighty-six million, nine hundred fifty-six thousand, five hundred forty-four".