946243628294400 has 2160 divisors, whose sum is σ = 3639987653879808. Its totient is φ = 243376358400000.

The previous prime is 946243628294387. The next prime is 946243628294443. The reversal of 946243628294400 is 4492826342649.

It is a happy number.

946243628294400 is a `hidden beast` number, since 9 + 4 + 6 + 2 + 4 + 3 + 62 + 82 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 420365893275 + ... + 420365895525.

Almost surely, 2^{946243628294400} is an apocalyptic number.

946243628294400 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 946243628294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819993826939904).

946243628294400 is an abundant number, since it is smaller than the sum of its proper divisors (2693744025585408).

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

946243628294400 is an frugal number, since it uses more digits than its factorization.

946243628294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 946243628294400 in words is "nine hundred forty-six trillion, two hundred forty-three billion, six hundred twenty-eight million, two hundred ninety-four thousand, four hundred".