22496475456 has 672 divisors, whose sum is σ = 85429344000. Its totient is φ = 5608673280.

The previous prime is 22496475401. The next prime is 22496475461. The reversal of 22496475456 is 65457469422.

22496475456 is a `hidden beast` number, since 2 + 2 + 4 + 96 + 4 + 7 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 48799066 + ... + 48799526.

It is an arithmetic number, because the mean of its divisors is an integer number (127127000).

Almost surely, 2^22496475456 is an apocalyptic number.

22496475456 is a gapful number since it is divisible by the number (26) 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 22496475456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42714672000).

22496475456 is an abundant number, since it is smaller than the sum of its proper divisors (62932868544).

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

22496475456 is a wasteful number, since it uses less digits than its factorization.

22496475456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 505 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 22496475456 in words is "twenty-two billion, four hundred ninety-six million, four hundred seventy-five thousand, four hundred fifty-six".