93190517145 has 256 divisors, whose sum is σ = 193969520640. Its totient is φ = 42005779200.

The previous prime is 93190517117. The next prime is 93190517149. The reversal of 93190517145 is 54171509139.

93190517145 is a `hidden beast` number, since 9 + 3 + 1 + 90 + 517 + 1 + 45 = 666.

It is not a de Polignac number, because 93190517145 - 2⁹ = 93190516633 is a prime.

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 93190517145.

It is not an unprimeable number, because it can be changed into a prime (93190517149) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 201275184 + ... + 201275646.

It is an arithmetic number, because the mean of its divisors is an integer number (757693440).

Almost surely, 2^93190517145 is an apocalyptic number.

It is an amenable number.

93190517145 is an abundant number, since it is smaller than the sum of its proper divisors (100779003495).

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

93190517145 is a wasteful number, since it uses less digits than its factorization.

93190517145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 93190517145 in words is "ninety-three billion, one hundred ninety million, five hundred seventeen thousand, one hundred forty-five".