746541145647 has 32 divisors (see below), whose sum is σ = 1214521489920. Its totient is φ = 449452800000.

The previous prime is 746541145627. The next prime is 746541145681.

746541145647 is a `hidden beast` number, since 7 + 4 + 6 + 541 + 1 + 4 + 56 + 47 = 666.

746541145647 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 746541145647 - 2¹⁰ = 746541144623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 746541145593 and 746541145602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746541145627) 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, 8278354 + ... + 8368047.

It is an arithmetic number, because the mean of its divisors is an integer number (37953796560).

Almost surely, 2^746541145647 is an apocalyptic number.

746541145647 is a deficient number, since it is larger than the sum of its proper divisors (467980344273).

746541145647 is a wasteful number, since it uses less digits than its factorization.

746541145647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16646572 (or 16646566 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 746541145647 in words is "seven hundred forty-six billion, five hundred forty-one million, one hundred forty-five thousand, six hundred forty-seven".