191457312640 has 192 divisors, whose sum is σ = 508765698000. Its totient is φ = 68836106240.

The previous prime is 191457312619. The next prime is 191457312647. The reversal of 191457312640 is 46213754191.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191457312647) 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, 6878271 + ... + 6906049.

Almost surely, 2^191457312640 is an apocalyptic number.

191457312640 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 191457312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254382849000).

191457312640 is an abundant number, since it is smaller than the sum of its proper divisors (317308385360).

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

191457312640 is a wasteful number, since it uses less digits than its factorization.

191457312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27909 (or 27886 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 191457312640 in words is "one hundred ninety-one billion, four hundred fifty-seven million, three hundred twelve thousand, six hundred forty".