10294839603648 has 168 divisors, whose sum is σ = 29615900522208. Its totient is φ = 3419117733888.

The previous prime is 10294839603623. The next prime is 10294839603649. The reversal of 10294839603648 is 84630693849201.

10294839603648 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 483 + 96 + 0 + 3 + 64 + 8 = 666.

It is a super-4 number, since 4×10294839603648⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10294839603649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228360886 + ... + 228405962.

It is an arithmetic number, because the mean of its divisors is an integer number (176285122156).

Almost surely, 2^{10294839603648} is an apocalyptic number.

10294839603648 is a gapful number since it is divisible by the number (18) 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 10294839603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14807950261104).

10294839603648 is an abundant number, since it is smaller than the sum of its proper divisors (19321060918560).

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

10294839603648 is a wasteful number, since it uses less digits than its factorization.

10294839603648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46531 (or 46518 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 10294839603648 in words is "ten trillion, two hundred ninety-four billion, eight hundred thirty-nine million, six hundred three thousand, six hundred forty-eight".