11630278816 has 96 divisors (see below), whose sum is σ = 26247282768. Its totient is φ = 5025300480.

The previous prime is 11630278787. The next prime is 11630278823. The reversal of 11630278816 is 61887203611.

It can be written as a sum of positive squares in 8 ways, for example, as 3648643216 + 7981635600 = 60404^2 + 89340^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360636 + ... + 1369156.

Almost surely, 2^11630278816 is an apocalyptic number.

11630278816 is a gapful number since it is divisible by the number (16) 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 11630278816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123641384).

11630278816 is an abundant number, since it is smaller than the sum of its proper divisors (14617003952).

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

11630278816 is a wasteful number, since it uses less digits than its factorization.

11630278816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 11630278816 in words is "eleven billion, six hundred thirty million, two hundred seventy-eight thousand, eight hundred sixteen".