731148625512 has 72 divisors (see below), whose sum is σ = 2000820878550. Its totient is φ = 241203446784.

The previous prime is 731148625511. The next prime is 731148625513. The reversal of 731148625512 is 215526841137.

731148625512 is a `hidden beast` number, since 7 + 3 + 1 + 1 + 4 + 8 + 625 + 5 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (731148625511) and next prime (731148625513).

It can be written as a sum of positive squares in 3 ways, for example, as 555045860196 + 176102765316 = 745014^2 + 419646^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (731148625511) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137814 + ... + 1217082.

Almost surely, 2^731148625512 is an apocalyptic number.

731148625512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731148625512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000410439275).

731148625512 is an abundant number, since it is smaller than the sum of its proper divisors (1269672253038).

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

731148625512 is a wasteful number, since it uses less digits than its factorization.

731148625512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079475 (or 1079371 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 731148625512 in words is "seven hundred thirty-one billion, one hundred forty-eight million, six hundred twenty-five thousand, five hundred twelve".