46399801827600 has 2025 divisors, whose sum is σ = 187465311523677. Its totient is φ = 10985974272000.

The previous prime is 46399801827569. The next prime is 46399801827637. The reversal of 46399801827600 is 672810899364.

The square root of 46399801827600 is 6811740.

It is a perfect power (a square), and thus also a powerful number.

46399801827600 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 9 + 8 + 0 + 18 + 2 + 7 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 42049674023184 + 4350127804416 = 6484572^2 + 2085696^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 653518335565 + ... + 653518335635.

Almost surely, 2^{46399801827600} is an apocalyptic number.

46399801827600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46399801827600 is the 6811740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46399801827600

46399801827600 is an abundant number, since it is smaller than the sum of its proper divisors (141065509696077).

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

46399801827600 is a wasteful number, since it uses less digits than its factorization.

46399801827600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 46399801827600 in words is "forty-six trillion, three hundred ninety-nine billion, eight hundred one million, eight hundred twenty-seven thousand, six hundred".