11142662832 has 160 divisors (see below), whose sum is σ = 36618370560. Its totient is φ = 3177895680.

The previous prime is 11142662821. The next prime is 11142662863. The reversal of 11142662832 is 23826624111.

It is a happy number.

11142662832 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 26 + 628 + 3 + 2 = 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1850707 + ... + 1856717.

It is an arithmetic number, because the mean of its divisors is an integer number (228864816).

Almost surely, 2^11142662832 is an apocalyptic number.

11142662832 is a gapful number since it is divisible by the number (12) 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 11142662832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309185280).

11142662832 is an abundant number, since it is smaller than the sum of its proper divisors (25475707728).

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

11142662832 is a wasteful number, since it uses less digits than its factorization.

11142662832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6648 (or 6636 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 11142662832 in words is "eleven billion, one hundred forty-two million, six hundred sixty-two thousand, eight hundred thirty-two".