10458768249296 has 40 divisors (see below), whose sum is σ = 20272549233480. Its totient is φ = 5227143192576.

The previous prime is 10458768249263. The next prime is 10458768249301. The reversal of 10458768249296 is 69294286785401.

It can be written as a sum of positive squares in 4 ways, for example, as 227086559296 + 10231681690000 = 476536^2 + 3198700^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 437063060 + ... + 437086988.

It is an arithmetic number, because the mean of its divisors is an integer number (506813730837).

Almost surely, 2^{10458768249296} is an apocalyptic number.

10458768249296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10458768249296 is a deficient number, since it is larger than the sum of its proper divisors (9813780984184).

10458768249296 is a wasteful number, since it uses less digits than its factorization.

10458768249296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34503 (or 34497 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 71.

The spelling of 10458768249296 in words is "ten trillion, four hundred fifty-eight billion, seven hundred sixty-eight million, two hundred forty-nine thousand, two hundred ninety-six".