946827364342080 has 896 divisors, whose sum is σ = 3460640060021760. Its totient is φ = 217259240325120.

The previous prime is 946827364342051. The next prime is 946827364342103. The reversal of 946827364342080 is 80243463728649.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 75643307982 + ... + 75643320498.

It is an arithmetic number, because the mean of its divisors is an integer number (3862321495560).

Almost surely, 2^{946827364342080} 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 946827364342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730320030010880).

946827364342080 is an abundant number, since it is smaller than the sum of its proper divisors (2513812695679680).

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

946827364342080 is a wasteful number, since it uses less digits than its factorization.

946827364342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15947 (or 15937 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 66.

The spelling of 946827364342080 in words is "nine hundred forty-six trillion, eight hundred twenty-seven billion, three hundred sixty-four million, three hundred forty-two thousand, eighty".