10274451811344 has 80 divisors (see below), whose sum is σ = 33704550925440. Its totient is φ = 2935557659520.

The previous prime is 10274451811313. The next prime is 10274451811439. The reversal of 10274451811344 is 44311815447201.

It is a happy number.

10274451811344 is a `hidden beast` number, since 1 + 0 + 2 + 74 + 451 + 81 + 13 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10274451811344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698815067 + ... + 1698821114.

It is an arithmetic number, because the mean of its divisors is an integer number (421306886568).

Almost surely, 2^{10274451811344} is an apocalyptic number.

10274451811344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10274451811344 is an abundant number, since it is smaller than the sum of its proper divisors (23430099114096).

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

10274451811344 is a wasteful number, since it uses less digits than its factorization.

10274451811344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397636205 (or 3397636193 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10274451811344 in words is "ten trillion, two hundred seventy-four billion, four hundred fifty-one million, eight hundred eleven thousand, three hundred forty-four".