22946571648 has 1152 divisors, whose sum is σ = 94019976960. Its totient is φ = 5419560960.

The previous prime is 22946571587. The next prime is 22946571649. The reversal of 22946571648 is 84617564922.

22946571648 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 6 + 571 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 22946571594 and 22946571603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22946571649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342486111 + ... + 342486177.

Almost surely, 2^22946571648 is an apocalyptic number.

22946571648 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 22946571648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47009988480).

22946571648 is an abundant number, since it is smaller than the sum of its proper divisors (71073405312).

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

22946571648 is a wasteful number, since it uses less digits than its factorization.

22946571648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 22946571648 in words is "twenty-two billion, nine hundred forty-six million, five hundred seventy-one thousand, six hundred forty-eight".