11465723556761 has 32 divisors (see below), whose sum is σ = 12055006206720. Its totient is φ = 10894281670656.

The previous prime is 11465723556731. The next prime is 11465723556767. The reversal of 11465723556761 is 16765532756411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11465723556761 - 2¹⁸ = 11465723294617 is a prime.

It is a super-2 number, since 2×11465723556761² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11465723556761.

It is not an unprimeable number, because it can be changed into a prime (11465723556767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589275545 + ... + 589295001.

It is an arithmetic number, because the mean of its divisors is an integer number (376718943960).

Almost surely, 2^{11465723556761} is an apocalyptic number.

It is an amenable number.

11465723556761 is a deficient number, since it is larger than the sum of its proper divisors (589282649959).

11465723556761 is a wasteful number, since it uses less digits than its factorization.

11465723556761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21713.

The product of its digits is 31752000, while the sum is 59.

The spelling of 11465723556761 in words is "eleven trillion, four hundred sixty-five billion, seven hundred twenty-three million, five hundred fifty-six thousand, seven hundred sixty-one".