11642041656 has 128 divisors (see below), whose sum is σ = 37340352000. Its totient is φ = 3291964416.

The previous prime is 11642041571. The next prime is 11642041669. The reversal of 11642041656 is 65614024611.

11642041656 is a `hidden beast` number, since 1 + 1 + 642 + 0 + 4 + 1 + 6 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11642041656.

It is a congruent number.

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, 106975 + ... + 186353.

It is an arithmetic number, because the mean of its divisors is an integer number (291721500).

Almost surely, 2^11642041656 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 11642041656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18670176000).

11642041656 is an abundant number, since it is smaller than the sum of its proper divisors (25698310344).

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

11642041656 is a wasteful number, since it uses less digits than its factorization.

11642041656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79498 (or 79488 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11642041656 in words is "eleven billion, six hundred forty-two million, forty-one thousand, six hundred fifty-six".