190668748557312 has 264 divisors, whose sum is σ = 557426277691920. Its totient is φ = 62764428165120.

The previous prime is 190668748557311. The next prime is 190668748557359. The reversal of 190668748557312 is 213755847866091.

190668748557312 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 6 + 8 + 7 + 48 + 5 + 573 + 1 + 2 = 666.

It is a super-2 number, since 2×190668748557312² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (190668748557311) 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, 665058348 + ... + 665344980.

It is a 1-persistent number, because it is pandigital, but 2⋅190668748557312 = 381337497114624 is not.

Almost surely, 2^{190668748557312} is an apocalyptic number.

190668748557312 is a gapful number since it is divisible by the number (12) 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 190668748557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278713138845960).

190668748557312 is an abundant number, since it is smaller than the sum of its proper divisors (366757529134608).

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

190668748557312 is a wasteful number, since it uses less digits than its factorization.

190668748557312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287559 (or 287538 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 190668748557312 in words is "one hundred ninety trillion, six hundred sixty-eight billion, seven hundred forty-eight million, five hundred fifty-seven thousand, three hundred twelve".