2268903865536 has 672 divisors, whose sum is σ = 8241994874880. Its totient is φ = 584509685760.

The previous prime is 2268903865513. The next prime is 2268903865603. The reversal of 2268903865536 is 6355683098622.

2268903865536 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 9 + 0 + 38 + 65 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×2268903865536³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 681555520 + ... + 681558848.

Almost surely, 2^{2268903865536} 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 2268903865536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120997437440).

2268903865536 is an abundant number, since it is smaller than the sum of its proper divisors (5973091009344).

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

2268903865536 is a wasteful number, since it uses less digits than its factorization.

2268903865536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 2268903865536 in words is "two trillion, two hundred sixty-eight billion, nine hundred three million, eight hundred sixty-five thousand, five hundred thirty-six".