1072349646318 has 96 divisors (see below), whose sum is σ = 2441174112000. Its totient is φ = 339552259200.

The previous prime is 1072349646307. The next prime is 1072349646413. The reversal of 1072349646318 is 8136469432701.

1072349646318 is a `hidden beast` number, since 1 + 0 + 7 + 234 + 96 + 4 + 6 + 318 = 666.

It is a super-2 number, since 2×1072349646318² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101150218 + ... + 101160818.

It is an arithmetic number, because the mean of its divisors is an integer number (25428897000).

Almost surely, 2^{1072349646318} is an apocalyptic number.

1072349646318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072349646318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220587056000).

1072349646318 is an abundant number, since it is smaller than the sum of its proper divisors (1368824465682).

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

1072349646318 is a wasteful number, since it uses less digits than its factorization.

1072349646318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12294 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1072349646318 in words is "one trillion, seventy-two billion, three hundred forty-nine million, six hundred forty-six thousand, three hundred eighteen".