10248070846464 has 864 divisors, whose sum is σ = 33216704801280. Its totient is φ = 3041085358080.

The previous prime is 10248070846463. The next prime is 10248070846499. The reversal of 10248070846464 is 46464807084201.

10248070846464 is a `hidden beast` number, since 1 + 0 + 24 + 80 + 7 + 0 + 84 + 6 + 464 = 666.

It is a super-2 number, since 2×10248070846464² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10248070846464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10248070846463) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27474720582 + ... + 27474720954.

Almost surely, 2^{10248070846464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10248070846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608352400640).

10248070846464 is an abundant number, since it is smaller than the sum of its proper divisors (22968633954816).

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

10248070846464 is a wasteful number, since it uses less digits than its factorization.

10248070846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 10248070846464 in words is "ten trillion, two hundred forty-eight billion, seventy million, eight hundred forty-six thousand, four hundred sixty-four".