11271765645 has 48 divisors (see below), whose sum is σ = 22408468992. Its totient is φ = 5134429440.

The previous prime is 11271765613. The next prime is 11271765653. The reversal of 11271765645 is 54656717211.

11271765645 is a `hidden beast` number, since 1 + 12 + 7 + 1 + 76 + 564 + 5 = 666.

It is not a de Polignac number, because 11271765645 - 2⁵ = 11271765613 is a prime.

It is a super-3 number, since 3×11271765645³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11271765645.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24844 + ... + 152186.

It is an arithmetic number, because the mean of its divisors is an integer number (466843104).

Almost surely, 2^11271765645 is an apocalyptic number.

11271765645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11271765645 is a deficient number, since it is larger than the sum of its proper divisors (11136703347).

11271765645 is a wasteful number, since it uses less digits than its factorization.

11271765645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127642 (or 127639 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 11271765645 in words is "eleven billion, two hundred seventy-one million, seven hundred sixty-five thousand, six hundred forty-five".