11461455624201 has 32 divisors (see below), whose sum is σ = 16706431097856. Its totient is φ = 6931662696000.

The previous prime is 11461455624197. The next prime is 11461455624209. The reversal of 11461455624201 is 10242655416411.

It is not a de Polignac number, because 11461455624201 - 2² = 11461455624197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11461455624209) 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 31 ways as a sum of consecutive naturals, for example, 372993900 + ... + 373024626.

It is an arithmetic number, because the mean of its divisors is an integer number (522075971808).

Almost surely, 2^{11461455624201} is an apocalyptic number.

11461455624201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11461455624201 is a deficient number, since it is larger than the sum of its proper divisors (5244975473655).

11461455624201 is a wasteful number, since it uses less digits than its factorization.

11461455624201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54253.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 11461455624201 in words is "eleven trillion, four hundred sixty-one billion, four hundred fifty-five million, six hundred twenty-four thousand, two hundred one".