11643774000 has 160 divisors (see below), whose sum is σ = 37613634240. Its totient is φ = 3098880000.

The previous prime is 11643773951. The next prime is 11643774059. The reversal of 11643774000 is 47734611.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 3604386 + ... + 3607614.

It is an arithmetic number, because the mean of its divisors is an integer number (235085214).

Almost surely, 2^11643774000 is an apocalyptic number.

11643774000 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 11643774000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18806817120).

11643774000 is an abundant number, since it is smaller than the sum of its proper divisors (25969860240).

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

11643774000 is a wasteful number, since it uses less digits than its factorization.

11643774000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 11643774000 in words is "eleven billion, six hundred forty-three million, seven hundred seventy-four thousand".