11742852264 has 256 divisors, whose sum is σ = 36684748800. Its totient is φ = 3079296000.

The previous prime is 11742852259. The next prime is 11742852269. The reversal of 11742852264 is 46225824711.

It is an interprime number because it is at equal distance from previous prime (11742852259) and next prime (11742852269).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11742852269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6585117 + ... + 6586899.

It is an arithmetic number, because the mean of its divisors is an integer number (143299800).

Almost surely, 2^11742852264 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 11742852264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18342374400).

11742852264 is an abundant number, since it is smaller than the sum of its proper divisors (24941896536).

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

11742852264 is a wasteful number, since it uses less digits than its factorization.

11742852264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1932 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The spelling of 11742852264 in words is "eleven billion, seven hundred forty-two million, eight hundred fifty-two thousand, two hundred sixty-four".