22457088192 has 224 divisors, whose sum is σ = 74299023360. Its totient is φ = 5815710720.

The previous prime is 22457088191. The next prime is 22457088223. The reversal of 22457088192 is 29188075422.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (22457088191) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5423659 + ... + 5427797.

Almost surely, 2^22457088192 is an apocalyptic number.

22457088192 is a gapful number since it is divisible by the number (22) 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 22457088192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149511680).

22457088192 is an abundant number, since it is smaller than the sum of its proper divisors (51841935168).

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

22457088192 is a wasteful number, since it uses less digits than its factorization.

22457088192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

It can be divided in two parts, 22457088 and 192, that multiplied together give a square (4311760896 = 65664²).

The spelling of 22457088192 in words is "twenty-two billion, four hundred fifty-seven million, eighty-eight thousand, one hundred ninety-two".