364661610345 has 48 divisors (see below), whose sum is σ = 635021779392. Its totient is φ = 193582846080.

The previous prime is 364661610277. The next prime is 364661610353. The reversal of 364661610345 is 543016166463.

364661610345 is a `hidden beast` number, since 36 + 466 + 16 + 103 + 45 = 666.

It is not a de Polignac number, because 364661610345 - 2¹⁰ = 364661609321 is a prime.

It is a super-2 number, since 2×364661610345² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 364661610345.

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, 10108390 + ... + 10144400.

It is an arithmetic number, because the mean of its divisors is an integer number (13229620404).

Almost surely, 2^364661610345 is an apocalyptic number.

It is an amenable number.

364661610345 is a deficient number, since it is larger than the sum of its proper divisors (270360169047).

364661610345 is a wasteful number, since it uses less digits than its factorization.

364661610345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37062 (or 37059 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 364661610345 in words is "three hundred sixty-four billion, six hundred sixty-one million, six hundred ten thousand, three hundred forty-five".