10046836800 has 2016 divisors, whose sum is σ = 52003171584. Its totient is φ = 1769472000.

The previous prime is 10046836703. The next prime is 10046836801. The reversal of 10046836800 is 863864001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10046836801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 245044780 + ... + 245044820.

It is an arithmetic number, because the mean of its divisors is an integer number (25795224).

Almost surely, 2^10046836800 is an apocalyptic number.

10046836800 is a gapful number since it is divisible by the number (10) 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 10046836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26001585792).

10046836800 is an abundant number, since it is smaller than the sum of its proper divisors (41956334784).

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

10046836800 is a wasteful number, since it uses less digits than its factorization.

10046836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10046836800 in words is "ten billion, forty-six million, eight hundred thirty-six thousand, eight hundred".