11667840117901 has 16 divisors (see below), whose sum is σ = 12766780660608. Its totient is φ = 10575273139200.

The previous prime is 11667840117889. The next prime is 11667840117917. The reversal of 11667840117901 is 10971104876611.

11667840117901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-11667840117901 is a prime.

It is a super-2 number, since 2×11667840117901² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11667840117601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187220536 + ... + 187282846.

It is an arithmetic number, because the mean of its divisors is an integer number (797923791288).

Almost surely, 2^{11667840117901} is an apocalyptic number.

11667840117901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11667840117901 is a deficient number, since it is larger than the sum of its proper divisors (1098940542707).

11667840117901 is a wasteful number, since it uses less digits than its factorization.

11667840117901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113172.

The product of its (nonzero) digits is 508032, while the sum is 52.

The spelling of 11667840117901 in words is "eleven trillion, six hundred sixty-seven billion, eight hundred forty million, one hundred seventeen thousand, nine hundred one".