45031131241464 has 128 divisors (see below), whose sum is σ = 123816187353600. Its totient is φ = 13601097269760.

The previous prime is 45031131241463. The next prime is 45031131241573. The reversal of 45031131241464 is 46414213113054.

45031131241464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45031131241464³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45031131241463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25689682 + ... + 27386529.

It is an arithmetic number, because the mean of its divisors is an integer number (967313963700).

Almost surely, 2^{45031131241464} is an apocalyptic number.

It is an amenable number.

45031131241464 is an abundant number, since it is smaller than the sum of its proper divisors (78785056112136).

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

45031131241464 is a wasteful number, since it uses less digits than its factorization.

45031131241464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53076325 (or 53076321 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 45031131241464 in words is "forty-five trillion, thirty-one billion, one hundred thirty-one million, two hundred forty-one thousand, four hundred sixty-four".