22155643453440 has 1152 divisors, whose sum is σ = 86353075081728. Its totient is φ = 4735201443840.

The previous prime is 22155643453409. The next prime is 22155643453441. The reversal of 22155643453440 is 4435434655122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22155643453440.

It is not an unprimeable number, because it can be changed into a prime (22155643453441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65743748952 + ... + 65743749288.

It is an arithmetic number, because the mean of its divisors is an integer number (74959266564).

Almost surely, 2^{22155643453440} is an apocalyptic number.

22155643453440 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 22155643453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43176537540864).

22155643453440 is an abundant number, since it is smaller than the sum of its proper divisors (64197431628288).

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

22155643453440 is an equidigital number, since it uses as much as digits as its factorization.

22155643453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

The spelling of 22155643453440 in words is "twenty-two trillion, one hundred fifty-five billion, six hundred forty-three million, four hundred fifty-three thousand, four hundred forty".