731022131585664 has 256 divisors, whose sum is σ = 2221872364800000. Its totient is φ = 236511767890944.

The previous prime is 731022131585663. The next prime is 731022131585689. The reversal of 731022131585664 is 466585131220137.

It is a happy number.

731022131585664 is a `hidden beast` number, since 7 + 3 + 1 + 0 + 2 + 21 + 3 + 1 + 58 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 731022131585664.

It is not an unprimeable number, because it can be changed into a prime (731022131585663) 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, 6582274 + ... + 38799105.

It is an arithmetic number, because the mean of its divisors is an integer number (8679188925000).

Almost surely, 2^{731022131585664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731022131585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110936182400000).

731022131585664 is an abundant number, since it is smaller than the sum of its proper divisors (1490850233214336).

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

731022131585664 is a wasteful number, since it uses less digits than its factorization.

731022131585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45381540 (or 45381522 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 731022131585664 in words is "seven hundred thirty-one trillion, twenty-two billion, one hundred thirty-one million, five hundred eighty-five thousand, six hundred sixty-four".