2263648734464 has 72 divisors (see below), whose sum is σ = 4872139699560. Its totient is φ = 1043448864768.

The previous prime is 2263648734409. The next prime is 2263648734491. The reversal of 2263648734464 is 4644378463622.

It can be written as a sum of positive squares in 4 ways, for example, as 15328420864 + 2248320313600 = 123808^2 + 1499440^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2225702 + ... + 3079130.

Almost surely, 2^{2263648734464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263648734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436069849780).

2263648734464 is an abundant number, since it is smaller than the sum of its proper divisors (2608490965096).

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

2263648734464 is an equidigital number, since it uses as much as digits as its factorization.

2263648734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854255 (or 854241 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 59.

The spelling of 2263648734464 in words is "two trillion, two hundred sixty-three billion, six hundred forty-eight million, seven hundred thirty-four thousand, four hundred sixty-four".