22361608891440 has 2560 divisors, whose sum is σ = 108127479398400. Its totient is φ = 4108475105280.

The previous prime is 22361608891399. The next prime is 22361608891469. The reversal of 22361608891440 is 4419880616322.

22361608891440 is a `hidden beast` number, since 2 + 2 + 3 + 61 + 60 + 8 + 89 + 1 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2730017745 + ... + 2730025935.

It is an arithmetic number, because the mean of its divisors is an integer number (42237296640).

Almost surely, 2^{22361608891440} is an apocalyptic number.

22361608891440 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 22361608891440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54063739699200).

22361608891440 is an abundant number, since it is smaller than the sum of its proper divisors (85765870506960).

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

22361608891440 is a wasteful number, since it uses less digits than its factorization.

22361608891440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 22361608891440 in words is "twenty-two trillion, three hundred sixty-one billion, six hundred eight million, eight hundred ninety-one thousand, four hundred forty".