10046866752 has 280 divisors, whose sum is σ = 32828337696. Its totient is φ = 3018580992.

The previous prime is 10046866751. The next prime is 10046866777. The reversal of 10046866752 is 25766864001.

It is a junction number, because it is equal to n+sod(n) for n = 10046866698 and 10046866707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10046866751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2896123 + ... + 2899589.

Almost surely, 2^10046866752 is an apocalyptic number.

10046866752 is a gapful number since it is divisible by the number (12) 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 10046866752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414168848).

10046866752 is an abundant number, since it is smaller than the sum of its proper divisors (22781470944).

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

10046866752 is a wasteful number, since it uses less digits than its factorization.

10046866752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10046866752 in words is "ten billion, forty-six million, eight hundred sixty-six thousand, seven hundred fifty-two".