13457665305 has 48 divisors (see below), whose sum is σ = 26672929920. Its totient is φ = 6148859904.

The previous prime is 13457665219. The next prime is 13457665321. The reversal of 13457665305 is 50356675431.

13457665305 is a `hidden beast` number, since 1 + 3 + 4 + 57 + 66 + 530 + 5 = 666.

It is not a de Polignac number, because 13457665305 - 2¹¹ = 13457663257 is a prime.

It is a super-2 number, since 2×13457665305² (a number of 21 digits) contains 22 as substring.

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

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, 655486 + ... + 675704.

It is an arithmetic number, because the mean of its divisors is an integer number (555686040).

Almost surely, 2^13457665305 is an apocalyptic number.

13457665305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13457665305 is a deficient number, since it is larger than the sum of its proper divisors (13215264615).

13457665305 is a wasteful number, since it uses less digits than its factorization.

13457665305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22350 (or 22347 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 13457665305 in words is "thirteen billion, four hundred fifty-seven million, six hundred sixty-five thousand, three hundred five".