94480732814400 has 189 divisors, whose sum is σ = 335810978136543. Its totient is φ = 25194551040000.

The previous prime is 94480732814339. The next prime is 94480732814431. The reversal of 94480732814400 is 441823708449.

The square root of 94480732814400 is 9720120.

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

94480732814400 is a `hidden beast` number, since 9 + 44 + 80 + 7 + 3 + 2 + 81 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7375395829824 + 87105336984576 = 2715768^2 + 9333024^2 .

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 26 ways as a sum of consecutive naturals, for example, 1166373900 + ... + 1166454900.

Almost surely, 2^{94480732814400} is an apocalyptic number.

94480732814400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

94480732814400 is the 9720120-th square number.

It is an amenable number.

94480732814400 is an abundant number, since it is smaller than the sum of its proper divisors (241330245322143).

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

94480732814400 is an frugal number, since it uses more digits than its factorization.

94480732814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162030 (or 81011 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 94480732814400 in words is "ninety-four trillion, four hundred eighty billion, seven hundred thirty-two million, eight hundred fourteen thousand, four hundred".