164536083325731 has 48 divisors (see below), whose sum is σ = 249361970403840. Its totient is φ = 95917714038720.

The previous prime is 164536083325723. The next prime is 164536083325763. The reversal of 164536083325731 is 137523380635461.

It is a happy number.

It is not a de Polignac number, because 164536083325731 - 2³ = 164536083325723 is a prime.

It is a super-2 number, since 2×164536083325731² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (164536083325721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223756536 + ... + 224490666.

It is an arithmetic number, because the mean of its divisors is an integer number (5195041050080).

Almost surely, 2^{164536083325731} is an apocalyptic number.

164536083325731 is a deficient number, since it is larger than the sum of its proper divisors (84825887078109).

164536083325731 is a wasteful number, since it uses less digits than its factorization.

164536083325731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750104 (or 750085 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 164536083325731 in words is "one hundred sixty-four trillion, five hundred thirty-six billion, eighty-three million, three hundred twenty-five thousand, seven hundred thirty-one".