22561605612630 has 192 divisors, whose sum is σ = 70129581442560. Its totient is φ = 5146434014400.

The previous prime is 22561605612607. The next prime is 22561605612683. The reversal of 22561605612630 is 3621650616522.

22561605612630 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 1 + 6 + 0 + 5 + 6 + 1 + 2 + 630 = 666.

It is a super-3 number, since 3×22561605612630³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

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, 4759335 + ... + 8232525.

It is an arithmetic number, because the mean of its divisors is an integer number (365258236680).

Almost surely, 2^{22561605612630} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22561605612630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35064790721280).

22561605612630 is an abundant number, since it is smaller than the sum of its proper divisors (47567975829930).

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

22561605612630 is a wasteful number, since it uses less digits than its factorization.

22561605612630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473712 (or 3473699 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 22561605612630 in words is "twenty-two trillion, five hundred sixty-one billion, six hundred five million, six hundred twelve thousand, six hundred thirty".