11626781628401 has 16 divisors (see below), whose sum is σ = 12303061891200. Its totient is φ = 10956944452608.

The previous prime is 11626781628367. The next prime is 11626781628419. The reversal of 11626781628401 is 10482618762611.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11626781628401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11626781628421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51331340 + ... + 51557346.

It is an arithmetic number, because the mean of its divisors is an integer number (768941368200).

Almost surely, 2^{11626781628401} is an apocalyptic number.

It is an amenable number.

11626781628401 is a deficient number, since it is larger than the sum of its proper divisors (676280262799).

11626781628401 is a wasteful number, since it uses less digits than its factorization.

11626781628401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240248.

The product of its (nonzero) digits is 1548288, while the sum is 53.

The spelling of 11626781628401 in words is "eleven trillion, six hundred twenty-six billion, seven hundred eighty-one million, six hundred twenty-eight thousand, four hundred one".