11551515656461 has 12 divisors (see below), whose sum is σ = 12699525519772. Its totient is φ = 10499388768000.

The previous prime is 11551515656419. The next prime is 11551515656479. The reversal of 11551515656461 is 16465651515511.

It can be written as a sum of positive squares in 2 ways, for example, as 506986720900 + 11044528935561 = 712030^2 + 3323331^2 .

It is not a de Polignac number, because 11551515656461 - 2⁷ = 11551515656333 is a prime.

It is a super-3 number, since 3×11551515656461³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11551515656399 and 11551515656408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11551515656411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8399730 + ... + 9677731.

Almost surely, 2^{11551515656461} is an apocalyptic number.

11551515656461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11551515656461 is a deficient number, since it is larger than the sum of its proper divisors (1148009863311).

11551515656461 is a wasteful number, since it uses less digits than its factorization.

11551515656461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18082764 (or 18082753 counting only the distinct ones).

The product of its digits is 2700000, while the sum is 52.

The spelling of 11551515656461 in words is "eleven trillion, five hundred fifty-one billion, five hundred fifteen million, six hundred fifty-six thousand, four hundred sixty-one".