22148829204480 has 312 divisors, whose sum is σ = 83752627701600. Its totient is φ = 5369412648960.

The previous prime is 22148829204457. The next prime is 22148829204493. The reversal of 22148829204480 is 8440292884122.

It is a happy number.

22148829204480 is a `hidden beast` number, since 2 + 2 + 1 + 488 + 29 + 20 + 44 + 80 = 666.

It is a super-2 number, since 2×22148829204480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3434530 + ... + 7489569.

It is an arithmetic number, because the mean of its divisors is an integer number (268437909300).

Almost surely, 2^{22148829204480} is an apocalyptic number.

22148829204480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22148829204480 is an abundant number, since it is smaller than the sum of its proper divisors (61603798497120).

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

22148829204480 is a wasteful number, since it uses less digits than its factorization.

22148829204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10924145 (or 10924120 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 22148829204480 in words is "twenty-two trillion, one hundred forty-eight billion, eight hundred twenty-nine million, two hundred four thousand, four hundred eighty".