15293427345 has 96 divisors (see below), whose sum is σ = 31697632512. Its totient is φ = 6928975872.

The previous prime is 15293427287. The next prime is 15293427353. The reversal of 15293427345 is 54372439251.

It is a happy number.

15293427345 is a `hidden beast` number, since 15 + 293 + 4 + 2 + 7 + 345 = 666.

It is not a de Polignac number, because 15293427345 - 2⁸ = 15293427089 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 15293427345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 953109 + ... + 969021.

It is an arithmetic number, because the mean of its divisors is an integer number (330183672).

Almost surely, 2^15293427345 is an apocalyptic number.

15293427345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15293427345 is an abundant number, since it is smaller than the sum of its proper divisors (16404205167).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15293427345 is a wasteful number, since it uses less digits than its factorization.

15293427345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16053 (or 16041 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 15293427345 in words is "fifteen billion, two hundred ninety-three million, four hundred twenty-seven thousand, three hundred forty-five".