1948116900 has 72 divisors (see below), whose sum is σ = 5689323360. Its totient is φ = 514634240.

The previous prime is 1948116899. The next prime is 1948116917. The reversal of 1948116900 is 96118491.

It is a super-2 number, since 2×1948116900² = 7590318912131220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1756 + ... + 62444.

It is an arithmetic number, because the mean of its divisors is an integer number (79018380).

Almost surely, 2^1948116900 is an apocalyptic number.

1948116900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948116900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844661680).

1948116900 is an abundant number, since it is smaller than the sum of its proper divisors (3741206460).

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

1948116900 is a wasteful number, since it uses less digits than its factorization.

1948116900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60813 (or 60806 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 1948116900 is about 44137.4772727214. The cubic root of 1948116900 is about 1248.9306908565.

The spelling of 1948116900 in words is "one billion, nine hundred forty-eight million, one hundred sixteen thousand, nine hundred".