1947894748900 has 81 divisors (see below), whose sum is σ = 4252249696891. Its totient is φ = 774518692480.

The previous prime is 1947894748873. The next prime is 1947894748907. The reversal of 1947894748900 is 98474987491.

The square root of 1947894748900 is 1395670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 383614241956 + 1564280506944 = 619366^2 + 1250712^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1947894748900.

It is not an unprimeable number, because it can be changed into a prime (1947894748907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3251910801 + ... + 3251911399.

Almost surely, 2^{1947894748900} is an apocalyptic number.

1947894748900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1947894748900 is the 1395670-th square number.

It is an amenable number.

1947894748900 is an abundant number, since it is smaller than the sum of its proper divisors (2304354947991).

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

1947894748900 is an frugal number, since it uses more digits than its factorization.

1947894748900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 70.

The spelling of 1947894748900 in words is "one trillion, nine hundred forty-seven billion, eight hundred ninety-four million, seven hundred forty-eight thousand, nine hundred".