941947891600 has 45 divisors (see below), whose sum is σ = 2263076444977. Its totient is φ = 376771392320.

The previous prime is 941947891589. The next prime is 941947891609. The reversal of 941947891600 is 6198749149.

The square root of 941947891600 is 970540.

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., 339101240976 + 602846650624 = 582324^2 + 776432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (941947891609) 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 8 ways as a sum of consecutive naturals, for example, 19386537 + ... + 19435063.

Almost surely, 2^941947891600 is an apocalyptic number.

941947891600 is the 970540-th square number.

It is an amenable number.

941947891600 is an abundant number, since it is smaller than the sum of its proper divisors (1321128553377).

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

941947891600 is an frugal number, since it uses more digits than its factorization.

941947891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97072 (or 48534 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 941947891600 in words is "nine hundred forty-one billion, nine hundred forty-seven million, eight hundred ninety-one thousand, six hundred".