10274830316352 has 560 divisors, whose sum is σ = 36146777665152. Its totient is φ = 2824800583680.

The previous prime is 10274830316341. The next prime is 10274830316357. The reversal of 10274830316352 is 25361303847201.

10274830316352 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 4 + 8 + 3 + 0 + 3 + 1 + 635 + 2 = 666.

It is a super-2 number, since 2×10274830316352² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10274830316298 and 10274830316307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10274830316357) 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 79 ways as a sum of consecutive naturals, for example, 108562683 + ... + 108657285.

Almost surely, 2^{10274830316352} is an apocalyptic number.

10274830316352 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 10274830316352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18073388832576).

10274830316352 is an abundant number, since it is smaller than the sum of its proper divisors (25871947348800).

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

10274830316352 is an equidigital number, since it uses as much as digits as its factorization.

10274830316352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94748 (or 94729 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10274830316352 in words is "ten trillion, two hundred seventy-four billion, eight hundred thirty million, three hundred sixteen thousand, three hundred fifty-two".