472745834005743 has 24 divisors (see below), whose sum is σ = 682956246820848. Its totient is φ = 315117206312832.

The previous prime is 472745834005733. The next prime is 472745834005787. The reversal of 472745834005743 is 347500438547274.

472745834005743 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 4 + 58 + 3 + 4 + 0 + 0 + 574 + 3 = 666.

It is not a de Polignac number, because 472745834005743 - 2⁴ = 472745834005727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472745834005733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2108505921 + ... + 2108730117.

It is an arithmetic number, because the mean of its divisors is an integer number (28456510284202).

Almost surely, 2^{472745834005743} is an apocalyptic number.

472745834005743 is a deficient number, since it is larger than the sum of its proper divisors (210210412815105).

472745834005743 is a wasteful number, since it uses less digits than its factorization.

472745834005743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257863 (or 257860 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 63.

It can be divided in two parts, 4727458 and 34005743, that added together give a triangular number (38733201 = T₈₈₀₁).

The spelling of 472745834005743 in words is "four hundred seventy-two trillion, seven hundred forty-five billion, eight hundred thirty-four million, five thousand, seven hundred forty-three".