994966350400 has 189 divisors, whose sum is σ = 2692227217897. Its totient is φ = 361646348800.

The previous prime is 994966350347. The next prime is 994966350407. The reversal of 994966350400 is 4053669499.

The square root of 994966350400 is 997480.

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

It can be written as a sum of positive squares in only one way, i.e., 358187886144 + 636778464256 = 598488^2 + 797984^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (994966350407) by changing a digit.

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, 438890067 + ... + 438892333.

Almost surely, 2^994966350400 is an apocalyptic number.

994966350400 is the 997480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 994966350400

994966350400 is an abundant number, since it is smaller than the sum of its proper divisors (1697260867497).

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

994966350400 is an equidigital number, since it uses as much as digits as its factorization.

994966350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 55.

The spelling of 994966350400 in words is "nine hundred ninety-four billion, nine hundred sixty-six million, three hundred fifty thousand, four hundred".