946431894240 has 1536 divisors, whose sum is σ = 4180377600000. Its totient is φ = 195098222592.

The previous prime is 946431894227. The next prime is 946431894253. The reversal of 946431894240 is 42498134649.

946431894240 is a `hidden beast` number, since 94 + 6 + 431 + 89 + 4 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (946431894227) and next prime (946431894253).

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 255 ways as a sum of consecutive naturals, for example, 1316316601 + ... + 1316317319.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600000).

Almost surely, 2^946431894240 is an apocalyptic number.

946431894240 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 946431894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090188800000).

946431894240 is an abundant number, since it is smaller than the sum of its proper divisors (3233945705760).

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

946431894240 is a wasteful number, since it uses less digits than its factorization.

946431894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 946431894240 in words is "nine hundred forty-six billion, four hundred thirty-one million, eight hundred ninety-four thousand, two hundred forty".