22251515040144 has 200 divisors, whose sum is σ = 69373190135480. Its totient is φ = 6844959240192.

The previous prime is 22251515040121. The next prime is 22251515040163. The reversal of 22251515040144 is 44104051515222.

22251515040144 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 1 + 5 + 1 + 504 + 0 + 144 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7797162675600 + 14454352364544 = 2792340^2 + 3801888^2 .

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 = 22251515040099 and 22251515040108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70216002 + ... + 70532190.

Almost surely, 2^{22251515040144} is an apocalyptic number.

22251515040144 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 22251515040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34686595067740).

22251515040144 is an abundant number, since it is smaller than the sum of its proper divisors (47121675095336).

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

22251515040144 is a wasteful number, since it uses less digits than its factorization.

22251515040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320399 (or 320384 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 22251515040144 its reverse (44104051515222), we get a palindrome (66355566555366).

The spelling of 22251515040144 in words is "twenty-two trillion, two hundred fifty-one billion, five hundred fifteen million, forty thousand, one hundred forty-four".