22690246064640 has 1280 divisors, whose sum is σ = 93524235780096. Its totient is φ = 4554458726400.

The previous prime is 22690246064623. The next prime is 22690246064659. The reversal of 22690246064640 is 4646064209622.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×22690246064640² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17360554867 + ... + 17360556173.

Almost surely, 2^{22690246064640} is an apocalyptic number.

22690246064640 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 22690246064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46762117890048).

22690246064640 is an abundant number, since it is smaller than the sum of its proper divisors (70833989715456).

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

22690246064640 is a wasteful number, since it uses less digits than its factorization.

22690246064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 51.

The spelling of 22690246064640 in words is "twenty-two trillion, six hundred ninety billion, two hundred forty-six million, sixty-four thousand, six hundred forty".