946488438720 has 1344 divisors, whose sum is σ = 3867350192640. Its totient is φ = 215986176000.

The previous prime is 946488438719. The next prime is 946488438743. The reversal of 946488438720 is 27834884649.

946488438720 is a `hidden beast` number, since 9 + 46 + 488 + 43 + 8 + 72 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3927337800 + ... + 3927338040.

Almost surely, 2^946488438720 is an apocalyptic number.

946488438720 is a gapful number since it is divisible by the number (90) 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 946488438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933675096320).

946488438720 is an abundant number, since it is smaller than the sum of its proper divisors (2920861753920).

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

946488438720 is a wasteful number, since it uses less digits than its factorization.

946488438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 946488438720 in words is "nine hundred forty-six billion, four hundred eighty-eight million, four hundred thirty-eight thousand, seven hundred twenty".