11644461312 has 144 divisors (see below), whose sum is σ = 34529144832. Its totient is φ = 3453429760.

The previous prime is 11644461307. The next prime is 11644461331. The reversal of 11644461312 is 21316444611.

It is a super-2 number, since 2×11644461312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 382393 + ... + 411719.

It is an arithmetic number, because the mean of its divisors is an integer number (239785728).

Almost surely, 2^11644461312 is an apocalyptic number.

11644461312 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 11644461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264572416).

11644461312 is an abundant number, since it is smaller than the sum of its proper divisors (22884683520).

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

11644461312 is a wasteful number, since it uses less digits than its factorization.

11644461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29404 (or 29390 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The spelling of 11644461312 in words is "eleven billion, six hundred forty-four million, four hundred sixty-one thousand, three hundred twelve".