946938990816 has 288 divisors, whose sum is σ = 3356246799360. Its totient is φ = 246580319232.

The previous prime is 946938990773. The next prime is 946938990839. The reversal of 946938990816 is 618099839649.

946938990816 is a `hidden beast` number, since 9 + 469 + 3 + 89 + 9 + 0 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1841751 + ... + 2299113.

It is an arithmetic number, because the mean of its divisors is an integer number (11653634720).

Almost surely, 2^946938990816 is an apocalyptic number.

946938990816 is a gapful number since it is divisible by the number (96) 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 946938990816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678123399680).

946938990816 is an abundant number, since it is smaller than the sum of its proper divisors (2409307808544).

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

946938990816 is a wasteful number, since it uses less digits than its factorization.

946938990816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457478 (or 457467 counting only the distinct ones).

The product of its (nonzero) digits is 181398528, while the sum is 72.

The spelling of 946938990816 in words is "nine hundred forty-six billion, nine hundred thirty-eight million, nine hundred ninety thousand, eight hundred sixteen".