1145185504175 has 18 divisors (see below), whose sum is σ = 1450289885328. Its totient is φ = 896627162640.

The previous prime is 1145185504159. The next prime is 1145185504181. The reversal of 1145185504175 is 5714055815411.

It is not a de Polignac number, because 1145185504175 - 2⁴ = 1145185504159 is a prime.

It is a super-2 number, since 2×1145185504175² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36666716 + ... + 36697934.

It is an arithmetic number, because the mean of its divisors is an integer number (80571660296).

Almost surely, 2^{1145185504175} is an apocalyptic number.

1145185504175 is a deficient number, since it is larger than the sum of its proper divisors (305104381153).

1145185504175 is an frugal number, since it uses more digits than its factorization.

1145185504175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62495 (or 31271 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 47.

Multiplying 1145185504175 by its sum of digits (47), we get a square (53823718696225 = 7336465²).

1145185504175 divided by its sum of digits (47) gives a square (24365649025 = 156095²).

The spelling of 1145185504175 in words is "one trillion, one hundred forty-five billion, one hundred eighty-five million, five hundred four thousand, one hundred seventy-five".