11146515642 has 96 divisors (see below), whose sum is σ = 26094182400. Its totient is φ = 3427383456.

The previous prime is 11146515637. The next prime is 11146515643. The reversal of 11146515642 is 24651564111.

11146515642 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 6 + 5 + 1 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11146515597 and 11146515606.

It is not an unprimeable number, because it can be changed into a prime (11146515643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5631409 + ... + 5633387.

It is an arithmetic number, because the mean of its divisors is an integer number (271814400).

Almost surely, 2^11146515642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11146515642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047091200).

11146515642 is an abundant number, since it is smaller than the sum of its proper divisors (14947666758).

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

11146515642 is a wasteful number, since it uses less digits than its factorization.

11146515642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2429 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 11146515642 in words is "eleven billion, one hundred forty-six million, five hundred fifteen thousand, six hundred forty-two".