2263955526144 has 1280 divisors, whose sum is σ = 7846897766400. Its totient is φ = 647122452480.

The previous prime is 2263955526137. The next prime is 2263955526169. The reversal of 2263955526144 is 4416255593622.

2263955526144 is a `hidden beast` number, since 2 + 2 + 63 + 9 + 55 + 526 + 1 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13086448042 + ... + 13086448214.

It is an arithmetic number, because the mean of its divisors is an integer number (6130388880).

Almost surely, 2^{2263955526144} is an apocalyptic number.

2263955526144 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 2263955526144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923448883200).

2263955526144 is an abundant number, since it is smaller than the sum of its proper divisors (5582942240256).

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

2263955526144 is an equidigital number, since it uses as much as digits as its factorization.

2263955526144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 251 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 2263955526144 in words is "two trillion, two hundred sixty-three billion, nine hundred fifty-five million, five hundred twenty-six thousand, one hundred forty-four".