1948126378200 has 48 divisors (see below), whose sum is σ = 6039191774280. Its totient is φ = 519500367360.

The previous prime is 1948126378199. The next prime is 1948126378213. The reversal of 1948126378200 is 28736218491.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1623438049 + ... + 1623439248.

Almost surely, 2^{1948126378200} is an apocalyptic number.

1948126378200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948126378200 is an abundant number, since it is smaller than the sum of its proper divisors (4091065396080).

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

1948126378200 is a wasteful number, since it uses less digits than its factorization.

1948126378200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246877316 (or 3246877307 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 1948126378200 in words is "one trillion, nine hundred forty-eight billion, one hundred twenty-six million, three hundred seventy-eight thousand, two hundred".