180946964340 has 120 divisors (see below), whose sum is σ = 568047359880. Its totient is φ = 48217669632.

The previous prime is 180946964327. The next prime is 180946964353. The reversal of 180946964340 is 43469649081.

It is a happy number.

180946964340 is a `hidden beast` number, since 1 + 80 + 9 + 46 + 96 + 434 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (180946964327) and next prime (180946964353).

It can be written as a sum of positive squares in 4 ways, for example, as 6587270244 + 174359694096 = 81162^2 + 417564^2 .

It is a super-2 number, since 2×180946964340² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2242944 + ... + 2322216.

It is an arithmetic number, because the mean of its divisors is an integer number (4733727999).

Almost surely, 2^180946964340 is an apocalyptic number.

180946964340 is a gapful number since it is divisible by the number (10) 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 180946964340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284023679940).

180946964340 is an abundant number, since it is smaller than the sum of its proper divisors (387100395540).

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

180946964340 is a wasteful number, since it uses less digits than its factorization.

180946964340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80703 (or 80692 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 180946964340 in words is "one hundred eighty billion, nine hundred forty-six million, nine hundred sixty-four thousand, three hundred forty".