939946478016 has 1008 divisors, whose sum is σ = 3351593296800. Its totient is φ = 230338805760.

The previous prime is 939946477969. The next prime is 939946478021. The reversal of 939946478016 is 610874649939.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2693256210 + ... + 2693256558.

It is an arithmetic number, because the mean of its divisors is an integer number (3324993350).

Almost surely, 2^939946478016 is an apocalyptic number.

939946478016 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 939946478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675796648400).

939946478016 is an abundant number, since it is smaller than the sum of its proper divisors (2411646818784).

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

939946478016 is a wasteful number, since it uses less digits than its factorization.

939946478016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 939946478016 in words is "nine hundred thirty-nine billion, nine hundred forty-six million, four hundred seventy-eight thousand, sixteen".