22856676480 has 384 divisors, whose sum is σ = 87013180800. Its totient is φ = 5482414080.

The previous prime is 22856676463. The next prime is 22856676497. The reversal of 22856676480 is 8467665822.

22856676480 is a `hidden beast` number, since 2 + 2 + 8 + 566 + 76 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22856676463) and next prime (22856676497).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×22856676480² (a number of 22 digits) contains 22 as substring.

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, 6144061 + ... + 6147779.

It is an arithmetic number, because the mean of its divisors is an integer number (226596825).

Almost surely, 2^22856676480 is an apocalyptic number.

22856676480 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 22856676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43506590400).

22856676480 is an abundant number, since it is smaller than the sum of its proper divisors (64156504320).

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

22856676480 is a wasteful number, since it uses less digits than its factorization.

22856676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 22856676480 in words is "twenty-two billion, eight hundred fifty-six million, six hundred seventy-six thousand, four hundred eighty".