22812197660640 has 288 divisors, whose sum is σ = 80560921817376. Its totient is φ = 5873656688640.

The previous prime is 22812197660627. The next prime is 22812197660653. The reversal of 22812197660640 is 4606679121822.

22812197660640 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 21 + 9 + 7 + 6 + 606 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22812197660627) and next prime (22812197660653).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5345494 + ... + 8613866.

It is an arithmetic number, because the mean of its divisors is an integer number (279725422977).

Almost surely, 2^{22812197660640} is an apocalyptic number.

22812197660640 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 22812197660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40280460908688).

22812197660640 is an abundant number, since it is smaller than the sum of its proper divisors (57748724156736).

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

22812197660640 is a wasteful number, since it uses less digits than its factorization.

22812197660640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268562 (or 3268551 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 22812197660640 in words is "twenty-two trillion, eight hundred twelve billion, one hundred ninety-seven million, six hundred sixty thousand, six hundred forty".