22545541440000 has 1200 divisors, whose sum is σ = 87514731790200. Its totient is φ = 5564989440000.

The previous prime is 22545541439959. The next prime is 22545541440041. The reversal of 22545541440000 is 4414554522.

22545541440000 is a `hidden beast` number, since 2 + 2 + 54 + 554 + 14 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22545541439959) and next prime (22545541440041).

It can be written as a sum of positive squares in 20 ways, for example, as 8187747307776 + 14357794132224 = 2861424^2 + 3789168^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2986556226 + ... + 2986563774.

Almost surely, 2^{22545541440000} is an apocalyptic number.

22545541440000 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 22545541440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43757365895100).

22545541440000 is an abundant number, since it is smaller than the sum of its proper divisors (64969190350200).

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

22545541440000 is an equidigital number, since it uses as much as digits as its factorization.

22545541440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 22545541440000 its reverse (4414554522), we get a palindrome (22549955994522).

The spelling of 22545541440000 in words is "twenty-two trillion, five hundred forty-five billion, five hundred forty-one million, four hundred forty thousand".