94851680400 has 675 divisors, whose sum is σ = 358635139291. Its totient is φ = 24007656960.

The previous prime is 94851680393. The next prime is 94851680411. The reversal of 94851680400 is 408615849.

The square root of 94851680400 is 307980.

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

94851680400 is a `hidden beast` number, since 9 + 4 + 85 + 168 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1303787664 + 93547892736 = 36108^2 + 305856^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1607655571 + ... + 1607655629.

Almost surely, 2^94851680400 is an apocalyptic number.

94851680400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

94851680400 is the 307980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94851680400

94851680400 is an abundant number, since it is smaller than the sum of its proper divisors (263783458891).

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

94851680400 is a wasteful number, since it uses less digits than its factorization.

94851680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 94851680400 in words is "ninety-four billion, eight hundred fifty-one million, six hundred eighty thousand, four hundred".