11641677696 has 160 divisors (see below), whose sum is σ = 37795400280. Its totient is φ = 3527746560.

The previous prime is 11641677629. The next prime is 11641677757. The reversal of 11641677696 is 69677614611.

It is a super-3 number, since 3×11641677696³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63010 + ... + 165086.

Almost surely, 2^11641677696 is an apocalyptic number.

11641677696 is a gapful number since it is divisible by the number (16) 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 11641677696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897700140).

11641677696 is an abundant number, since it is smaller than the sum of its proper divisors (26153722584).

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

11641677696 is a wasteful number, since it uses less digits than its factorization.

11641677696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102114 (or 102093 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 11641677696 in words is "eleven billion, six hundred forty-one million, six hundred seventy-seven thousand, six hundred ninety-six".