15006806461 has 24 divisors (see below), whose sum is σ = 16495190784. Its totient is φ = 13635457920.

The previous prime is 15006806459. The next prime is 15006806509. The reversal of 15006806461 is 16460860051.

It is not a de Polignac number, because 15006806461 - 2¹ = 15006806459 is a prime.

It is a super-2 number, since 2×15006806461² (a number of 21 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 15006806461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15006806401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258650 + ... + 1270516.

It is an arithmetic number, because the mean of its divisors is an integer number (687299616).

Almost surely, 2^15006806461 is an apocalyptic number.

It is an amenable number.

15006806461 is a deficient number, since it is larger than the sum of its proper divisors (1488384323).

15006806461 is a wasteful number, since it uses less digits than its factorization.

15006806461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12049 (or 12030 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 15006806461 in words is "fifteen billion, six million, eight hundred six thousand, four hundred sixty-one".