1891148688 has 400 divisors, whose sum is σ = 6709987200. Its totient is φ = 505992960.

The previous prime is 1891148683. The next prime is 1891148713. The reversal of 1891148688 is 8868411981.

It is a happy number.

1891148688 is a `hidden beast` number, since 1 + 89 + 1 + 1 + 486 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1891148683) 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 79 ways as a sum of consecutive naturals, for example, 82223845 + ... + 82223867.

It is an arithmetic number, because the mean of its divisors is an integer number (16774968).

Almost surely, 2^1891148688 is an apocalyptic number.

1891148688 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 1891148688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354993600).

1891148688 is an abundant number, since it is smaller than the sum of its proper divisors (4818838512).

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

1891148688 is a wasteful number, since it uses less digits than its factorization.

1891148688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its digits is 884736, while the sum is 54.

The square root of 1891148688 is about 43487.3393989561. The cubic root of 1891148688 is about 1236.6360191603.

The spelling of 1891148688 in words is "one billion, eight hundred ninety-one million, one hundred forty-eight thousand, six hundred eighty-eight".