10294842894336 has 2880 divisors, whose sum is σ = 43872475046400. Its totient is φ = 2329067520000.

The previous prime is 10294842894331. The next prime is 10294842894397. The reversal of 10294842894336 is 63349824849201.

10294842894336 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 484 + 2 + 89 + 43 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10294842894331) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 41015310211 + ... + 41015310461.

It is an arithmetic number, because the mean of its divisors is an integer number (15233498280).

Almost surely, 2^{10294842894336} is an apocalyptic number.

10294842894336 is a gapful number since it is divisible by the number (16) 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 10294842894336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936237523200).

10294842894336 is an abundant number, since it is smaller than the sum of its proper divisors (33577632152064).

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

10294842894336 is a wasteful number, since it uses less digits than its factorization.

10294842894336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 10294842894336 in words is "ten trillion, two hundred ninety-four billion, eight hundred forty-two million, eight hundred ninety-four thousand, three hundred thirty-six".