10084038045048 has 96 divisors (see below), whose sum is σ = 29800283160960. Its totient is φ = 3055098911040.

The previous prime is 10084038045047. The next prime is 10084038045049. The reversal of 10084038045048 is 84054083048001.

10084038045048 is a `hidden beast` number, since 1 + 0 + 0 + 84 + 0 + 3 + 80 + 450 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (10084038045047) and next prime (10084038045049).

It is a junction number, because it is equal to n+sod(n) for n = 10084038044994 and 10084038045012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084038045047) 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, 2223111 + ... + 5011017.

It is an arithmetic number, because the mean of its divisors is an integer number (310419616260).

Almost surely, 2^{10084038045048} is an apocalyptic number.

10084038045048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10084038045048 is an abundant number, since it is smaller than the sum of its proper divisors (19716245115912).

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

10084038045048 is a wasteful number, since it uses less digits than its factorization.

10084038045048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792497 (or 2792490 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 10084038045048 in words is "ten trillion, eighty-four billion, thirty-eight million, forty-five thousand, forty-eight".