11142186264 has 288 divisors, whose sum is σ = 35379489600. Its totient is φ = 3156278400.

The previous prime is 11142186221. The next prime is 11142186331. The reversal of 11142186264 is 46268124111.

11142186264 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 21 + 8 + 626 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13738419 + ... + 13739229.

It is an arithmetic number, because the mean of its divisors is an integer number (122845450).

Almost surely, 2^11142186264 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 11142186264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689744800).

11142186264 is an abundant number, since it is smaller than the sum of its proper divisors (24237303336).

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

11142186264 is a wasteful number, since it uses less digits than its factorization.

11142186264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 929 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 11142186264 in words is "eleven billion, one hundred forty-two million, one hundred eighty-six thousand, two hundred sixty-four".