11971948667 has 24 divisors (see below), whose sum is σ = 14158950480. Its totient is φ = 10090967040.

The previous prime is 11971948663. The next prime is 11971948669. The reversal of 11971948667 is 76684917911.

It is not a de Polignac number, because 11971948667 - 2² = 11971948663 is a prime.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11971948663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101559 + ... + 2107247.

It is an arithmetic number, because the mean of its divisors is an integer number (589956270).

Almost surely, 2^11971948667 is an apocalyptic number.

11971948667 is a deficient number, since it is larger than the sum of its proper divisors (2187001813).

11971948667 is an equidigital number, since it uses as much as digits as its factorization.

11971948667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6404 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 59.

The spelling of 11971948667 in words is "eleven billion, nine hundred seventy-one million, nine hundred forty-eight thousand, six hundred sixty-seven".