191778048 has 432 divisors, whose sum is σ = 734662656. Its totient is φ = 46632960.

The previous prime is 191778043. The next prime is 191778061. The reversal of 191778048 is 840877191.

It is a junction number, because it is equal to n+sod(n) for n = 191777994 and 191778012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191778043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4080361 + ... + 4080407.

It is an arithmetic number, because the mean of its divisors is an integer number (1700608).

Almost surely, 2^191778048 is an apocalyptic number.

191778048 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 191778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367331328).

191778048 is an abundant number, since it is smaller than the sum of its proper divisors (542884608).

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

191778048 is a wasteful number, since it uses less digits than its factorization.

191778048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 191778048 is about 13848.3951416762. The cubic root of 191778048 is about 576.6774436750.

It can be divided in two parts, 19177 and 8048, that added together give a square (27225 = 165²).

The spelling of 191778048 in words is "one hundred ninety-one million, seven hundred seventy-eight thousand, forty-eight".