11817252518401 has 8 divisors (see below), whose sum is σ = 12892638907008. Its totient is φ = 10742047914000.

The previous prime is 11817252518329. The next prime is 11817252518431. The reversal of 11817252518401 is 10481525271811.

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 11817252518401 - 2⁴¹ = 9618229262849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11817252518431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45310105 + ... + 45570166.

It is an arithmetic number, because the mean of its divisors is an integer number (1611579863376).

Almost surely, 2^{11817252518401} is an apocalyptic number.

11817252518401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11817252518401 is a deficient number, since it is larger than the sum of its proper divisors (1075386388607).

11817252518401 is a wasteful number, since it uses less digits than its factorization.

11817252518401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90892103.

The product of its (nonzero) digits is 179200, while the sum is 46.

The spelling of 11817252518401 in words is "eleven trillion, eight hundred seventeen billion, two hundred fifty-two million, five hundred eighteen thousand, four hundred one".