22383454256640 has 480 divisors, whose sum is σ = 80451521710560. Its totient is φ = 5964451282944.

The previous prime is 22383454256591. The next prime is 22383454256689. The reversal of 22383454256640 is 4665245438322.

22383454256640 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 3 + 4 + 542 + 56 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22383454256591) and next prime (22383454256689).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 876497952 + ... + 876523488.

It is an arithmetic number, because the mean of its divisors is an integer number (167607336897).

Almost surely, 2^{22383454256640} is an apocalyptic number.

22383454256640 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 22383454256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40225760855280).

22383454256640 is an abundant number, since it is smaller than the sum of its proper divisors (58068067453920).

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

22383454256640 is an equidigital number, since it uses as much as digits as its factorization.

22383454256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26984 (or 26956 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 22383454256640 in words is "twenty-two trillion, three hundred eighty-three billion, four hundred fifty-four million, two hundred fifty-six thousand, six hundred forty".