22753318434000 has 960 divisors, whose sum is σ = 95123821019136. Its totient is φ = 4575415680000.

The previous prime is 22753318433971. The next prime is 22753318434017. The reversal of 22753318434000 is 43481335722.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157469787 + ... + 157614213.

Almost surely, 2^{22753318434000} is an apocalyptic number.

22753318434000 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 22753318434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47561910509568).

22753318434000 is an abundant number, since it is smaller than the sum of its proper divisors (72370502585136).

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

22753318434000 is a wasteful number, since it uses less digits than its factorization.

22753318434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144513 (or 144486 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

Adding to 22753318434000 its reverse (43481335722), we get a palindrome (22796799769722).

The spelling of 22753318434000 in words is "twenty-two trillion, seven hundred fifty-three billion, three hundred eighteen million, four hundred thirty-four thousand".