22453413840 has 960 divisors, whose sum is σ = 94588445952. Its totient is φ = 4877107200.

The previous prime is 22453413817. The next prime is 22453413847. The reversal of 22453413840 is 4831435422.

22453413840 is a `hidden beast` number, since 2 + 245 + 34 + 1 + 384 + 0 = 666.

It is a super-3 number, since 3×22453413840³ (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22453413795 and 22453413804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22453413847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113976622 + ... + 113976818.

Almost surely, 2^22453413840 is an apocalyptic number.

22453413840 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 22453413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47294222976).

22453413840 is an abundant number, since it is smaller than the sum of its proper divisors (72135032112).

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

22453413840 is a wasteful number, since it uses less digits than its factorization.

22453413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 22453413840 in words is "twenty-two billion, four hundred fifty-three million, four hundred thirteen thousand, eight hundred forty".