10134719458304 has 176 divisors, whose sum is σ = 24294001944576. Its totient is φ = 4131639705600.

The previous prime is 10134719458151. The next prime is 10134719458337. The reversal of 10134719458304 is 40385491743101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29670569 + ... + 30010199.

Almost surely, 2^{10134719458304} is an apocalyptic number.

10134719458304 is a gapful number since it is divisible by the number (14) 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 10134719458304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147000972288).

10134719458304 is an abundant number, since it is smaller than the sum of its proper divisors (14159282486272).

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

10134719458304 is a wasteful number, since it uses less digits than its factorization.

10134719458304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339862 (or 339844 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 10134719458304 in words is "ten trillion, one hundred thirty-four billion, seven hundred nineteen million, four hundred fifty-eight thousand, three hundred four".