191355948 has 72 divisors (see below), whose sum is σ = 556238592. Its totient is φ = 54333792.

The previous prime is 191355947. The next prime is 191356037. The reversal of 191355948 is 849553191.

191355948 is a `hidden beast` number, since 1 + 91 + 3 + 559 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (191355943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39811 + ... + 44357.

It is an arithmetic number, because the mean of its divisors is an integer number (7725536).

Almost surely, 2^191355948 is an apocalyptic number.

191355948 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 191355948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278119296).

191355948 is an abundant number, since it is smaller than the sum of its proper divisors (364882644).

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

191355948 is a wasteful number, since it uses less digits than its factorization.

191355948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4726 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 191355948 is about 13833.1467136006. The cubic root of 191355948 is about 576.2540473677.

The spelling of 191355948 in words is "one hundred ninety-one million, three hundred fifty-five thousand, nine hundred forty-eight".