2263613364144 has 240 divisors, whose sum is σ = 6987943126944. Its totient is φ = 683979816960.

The previous prime is 2263613364107. The next prime is 2263613364197. The reversal of 2263613364144 is 4414633163622.

It is a happy number.

2263613364144 is a `hidden beast` number, since 2 + 2 + 636 + 1 + 3 + 3 + 6 + 4 + 1 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2263613364144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67640664 + ... + 67674120.

Almost surely, 2^{2263613364144} is an apocalyptic number.

2263613364144 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 2263613364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493971563472).

2263613364144 is an abundant number, since it is smaller than the sum of its proper divisors (4724329762800).

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

2263613364144 is a wasteful number, since it uses less digits than its factorization.

2263613364144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33857 (or 33826 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 2263613364144 in words is "two trillion, two hundred sixty-three billion, six hundred thirteen million, three hundred sixty-four thousand, one hundred forty-four".