45193833941319 has 48 divisors (see below), whose sum is σ = 76645163246080. Its totient is φ = 25119498720960.

The previous prime is 45193833941299. The next prime is 45193833941329. The reversal of 45193833941319 is 91314933839154.

45193833941319 is a `hidden beast` number, since 4 + 51 + 93 + 83 + 3 + 9 + 413 + 1 + 9 = 666.

It is not a de Polignac number, because 45193833941319 - 2⁹ = 45193833940807 is a prime.

It is a super-2 number, since 2×45193833941319² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45193833941329) 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 47 ways as a sum of consecutive naturals, for example, 4815804 + ... + 10657374.

Almost surely, 2^{45193833941319} is an apocalyptic number.

45193833941319 is a deficient number, since it is larger than the sum of its proper divisors (31451329304761).

45193833941319 is a wasteful number, since it uses less digits than its factorization.

45193833941319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844940 (or 5844937 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 45193833941319 in words is "forty-five trillion, one hundred ninety-three billion, eight hundred thirty-three million, nine hundred forty-one thousand, three hundred nineteen".