190387464337728 has 700 divisors, whose sum is σ = 658797574855860. Its totient is φ = 54362772946944.

The previous prime is 190387464337633. The next prime is 190387464337729. The reversal of 190387464337728 is 827733464783091.

190387464337728 is a `hidden beast` number, since 1 + 9 + 0 + 3 + 87 + 46 + 433 + 7 + 72 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30329339955264 + 160058124382464 = 5507208^2 + 12651408^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190387464337729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 25752392400 + ... + 25752399792.

Almost surely, 2^{190387464337728} is an apocalyptic number.

190387464337728 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 190387464337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329398787427930).

190387464337728 is an abundant number, since it is smaller than the sum of its proper divisors (468410110518132).

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

190387464337728 is an frugal number, since it uses more digits than its factorization.

190387464337728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9474 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 190387464337728 in words is "one hundred ninety trillion, three hundred eighty-seven billion, four hundred sixty-four million, three hundred thirty-seven thousand, seven hundred twenty-eight".