45779733797754 has 256 divisors, whose sum is σ = 112717750763520. Its totient is φ = 12226861405440.

The previous prime is 45779733797719. The next prime is 45779733797761.

It is a happy number.

45779733797754 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×45779733797754³ (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3763846077 + ... + 3763858239.

It is an arithmetic number, because the mean of its divisors is an integer number (440303713920).

Almost surely, 2^{45779733797754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45779733797754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56358875381760).

45779733797754 is an abundant number, since it is smaller than the sum of its proper divisors (66938016965766).

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

45779733797754 is a wasteful number, since it uses less digits than its factorization.

45779733797754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785.

The product of its digits is 34306448400, while the sum is 84.

The spelling of 45779733797754 in words is "forty-five trillion, seven hundred seventy-nine billion, seven hundred thirty-three million, seven hundred ninety-seven thousand, seven hundred fifty-four".