22453542144 has 648 divisors, whose sum is σ = 78173761120. Its totient is φ = 6404935680.

The previous prime is 22453542143. The next prime is 22453542179. The reversal of 22453542144 is 44124535422.

22453542144 is a `hidden beast` number, since 2 + 24 + 53 + 542 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (153600) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 22453542099 and 22453542108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22453542143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143016114 + ... + 143016270.

Almost surely, 2^22453542144 is an apocalyptic number.

22453542144 is a gapful number since it is divisible by the number (24) 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 22453542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39086880560).

22453542144 is an abundant number, since it is smaller than the sum of its proper divisors (55720218976).

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

22453542144 is a wasteful number, since it uses less digits than its factorization.

22453542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 192 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The spelling of 22453542144 in words is "twenty-two billion, four hundred fifty-three million, five hundred forty-two thousand, one hundred forty-four".