11842773264 has 640 divisors, whose sum is σ = 43298816000. Its totient is φ = 3023308800.

The previous prime is 11842773221. The next prime is 11842773269. The reversal of 11842773264 is 46237724811.

11842773264 is a `hidden beast` number, since 118 + 4 + 277 + 3 + 264 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11842773269) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108649242 + ... + 108649350.

It is an arithmetic number, because the mean of its divisors is an integer number (67654400).

Almost surely, 2^11842773264 is an apocalyptic number.

11842773264 is a gapful number since it is divisible by the number (14) 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 11842773264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21649408000).

11842773264 is an abundant number, since it is smaller than the sum of its proper divisors (31456042736).

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

11842773264 is a wasteful number, since it uses less digits than its factorization.

11842773264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 11842773264 in words is "eleven billion, eight hundred forty-two million, seven hundred seventy-three thousand, two hundred sixty-four".