22641691968 has 448 divisors, whose sum is σ = 78793482240. Its totient is φ = 6241536000.

The previous prime is 22641691957. The next prime is 22641691979. The reversal of 22641691968 is 86919614622.

It is an interprime number because it is at equal distance from previous prime (22641691957) and next prime (22641691979).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52532713 + ... + 52533143.

Almost surely, 2^22641691968 is an apocalyptic number.

22641691968 is a gapful number since it is divisible by the number (28) 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 22641691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39396741120).

22641691968 is an abundant number, since it is smaller than the sum of its proper divisors (56151790272).

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

22641691968 is a wasteful number, since it uses less digits than its factorization.

22641691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 587 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 22641691968 in words is "twenty-two billion, six hundred forty-one million, six hundred ninety-one thousand, nine hundred sixty-eight".