11141667936 has 240 divisors, whose sum is σ = 37545409440. Its totient is φ = 3175096320.

The previous prime is 11141667931. The next prime is 11141667941. The reversal of 11141667936 is 63976614111.

It is an interprime number because it is at equal distance from previous prime (11141667931) and next prime (11141667941).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11141667891 and 11141667900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141667931) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11992720 + ... + 11993648.

It is an arithmetic number, because the mean of its divisors is an integer number (156439206).

Almost surely, 2^11141667936 is an apocalyptic number.

11141667936 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 11141667936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772704720).

11141667936 is an abundant number, since it is smaller than the sum of its proper divisors (26403741504).

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

11141667936 is an equidigital number, since it uses as much as digits as its factorization.

11141667936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1602 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 11141667936 in words is "eleven billion, one hundred forty-one million, six hundred sixty-seven thousand, nine hundred thirty-six".