11456312556001 has 8 divisors (see below), whose sum is σ = 11523647139840. Its totient is φ = 11389139641152.

The previous prime is 11456312555969. The next prime is 11456312556011. The reversal of 11456312556001 is 10065521365411.

11456312556001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11456312556001 - 2⁵ = 11456312555969 is a prime.

It is a super-2 number, since 2×11456312556001² (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 (11456312556011) 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, 40275105 + ... + 40558558.

It is an arithmetic number, because the mean of its divisors is an integer number (1440455892480).

Almost surely, 2^{11456312556001} is an apocalyptic number.

It is an amenable number.

11456312556001 is a deficient number, since it is larger than the sum of its proper divisors (67334583839).

11456312556001 is an equidigital number, since it uses as much as digits as its factorization.

11456312556001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80834495.

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 11456312556001 in words is "eleven trillion, four hundred fifty-six billion, three hundred twelve million, five hundred fifty-six thousand, one".