22305152544 has 48 divisors (see below), whose sum is σ = 58559564448. Its totient is φ = 7433966592.

The previous prime is 22305152531. The next prime is 22305152561. The reversal of 22305152544 is 44525150322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22305152544² (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 904344 + ... + 928680.

It is an arithmetic number, because the mean of its divisors is an integer number (1219990926).

Almost surely, 2^22305152544 is an apocalyptic number.

22305152544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22305152544 is an abundant number, since it is smaller than the sum of its proper divisors (36254411904).

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

22305152544 is a wasteful number, since it uses less digits than its factorization.

22305152544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33897 (or 33889 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 22305152544 in words is "twenty-two billion, three hundred five million, one hundred fifty-two thousand, five hundred forty-four".