22295312148480 has 1536 divisors, whose sum is σ = 88207825305600. Its totient is φ = 4697332383744.

The previous prime is 22295312148479. The next prime is 22295312148511. The reversal of 22295312148480 is 8484121359222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16801289577 + ... + 16801290903.

It is an arithmetic number, because the mean of its divisors is an integer number (57426969600).

Almost surely, 2^{22295312148480} is an apocalyptic number.

22295312148480 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 22295312148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44103912652800).

22295312148480 is an abundant number, since it is smaller than the sum of its proper divisors (65912513157120).

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

22295312148480 is a wasteful number, since it uses less digits than its factorization.

22295312148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 22295312148480 in words is "twenty-two trillion, two hundred ninety-five billion, three hundred twelve million, one hundred forty-eight thousand, four hundred eighty".