22906455631248 has 480 divisors, whose sum is σ = 73461936528000. Its totient is φ = 6111098585088.

The previous prime is 22906455631219. The next prime is 22906455631277. The reversal of 22906455631248 is 84213655460922.

It is an interprime number because it is at equal distance from previous prime (22906455631219) and next prime (22906455631277).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6606994411 + ... + 6606997877.

It is an arithmetic number, because the mean of its divisors is an integer number (153045701100).

Almost surely, 2^{22906455631248} is an apocalyptic number.

22906455631248 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 22906455631248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36730968264000).

22906455631248 is an abundant number, since it is smaller than the sum of its proper divisors (50555480896752).

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

22906455631248 is a wasteful number, since it uses less digits than its factorization.

22906455631248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4754 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 22906455631248 in words is "twenty-two trillion, nine hundred six billion, four hundred fifty-five million, six hundred thirty-one thousand, two hundred forty-eight".