11634601000 has 128 divisors (see below), whose sum is σ = 29787264000. Its totient is φ = 4218336000.

The previous prime is 11634600941. The next prime is 11634601003. The reversal of 11634601000 is 10643611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11634601003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4277641 + ... + 4280359.

It is an arithmetic number, because the mean of its divisors is an integer number (232713000).

Almost surely, 2^11634601000 is an apocalyptic number.

11634601000 is a gapful number since it is divisible by the number (10) 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 11634601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893632000).

11634601000 is an abundant number, since it is smaller than the sum of its proper divisors (18152663000).

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

11634601000 is a wasteful number, since it uses less digits than its factorization.

11634601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 11634601000 in words is "eleven billion, six hundred thirty-four million, six hundred one thousand".