11667381214801 has 8 divisors (see below), whose sum is σ = 12565550895464. Its totient is φ = 10769308508160.

The previous prime is 11667381214793. The next prime is 11667381214807. The reversal of 11667381214801 is 10841218376611.

It can be written as a sum of positive squares in 4 ways, for example, as 125061249600 + 11542319965201 = 353640^2 + 3397399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11667381214801 - 2³ = 11667381214793 is a prime.

It is a super-2 number, since 2×11667381214801² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11667381214807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23993520 + ... + 24474961.

It is an arithmetic number, because the mean of its divisors is an integer number (1570693861933).

Almost surely, 2^{11667381214801} is an apocalyptic number.

It is an amenable number.

11667381214801 is a deficient number, since it is larger than the sum of its proper divisors (898169680663).

11667381214801 is a wasteful number, since it uses less digits than its factorization.

11667381214801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48487011.

The product of its (nonzero) digits is 387072, while the sum is 49.

The spelling of 11667381214801 in words is "eleven trillion, six hundred sixty-seven billion, three hundred eighty-one million, two hundred fourteen thousand, eight hundred one".