1916725248 has 192 divisors, whose sum is σ = 6014736000. Its totient is φ = 601030656.

The previous prime is 1916725243. The next prime is 1916725253. The reversal of 1916725248 is 8425276191.

It is an interprime number because it is at equal distance from previous prime (1916725243) and next prime (1916725253).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1916725243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939013 + ... + 941051.

It is an arithmetic number, because the mean of its divisors is an integer number (31326750).

Almost surely, 2^1916725248 is an apocalyptic number.

1916725248 is a gapful number since it is divisible by the number (18) 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 1916725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007368000).

1916725248 is an abundant number, since it is smaller than the sum of its proper divisors (4098010752).

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

1916725248 is a wasteful number, since it uses less digits than its factorization.

1916725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2061 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1916725248 is about 43780.4208294073. The cubic root of 1916725248 is about 1242.1859741583.

The spelling of 1916725248 in words is "one billion, nine hundred sixteen million, seven hundred twenty-five thousand, two hundred forty-eight".