46263010000 has 200 divisors, whose sum is σ = 114832773000. Its totient is φ = 18044160000.

The previous prime is 46263009973. The next prime is 46263010007. The reversal of 46263010000 is 1036264.

It can be written as a sum of positive squares in 20 ways, for example, as 43607462976 + 2655547024 = 208824^2 + 51532^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46263010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90889746 + ... + 90890254.

It is an arithmetic number, because the mean of its divisors is an integer number (574163865).

Almost surely, 2^46263010000 is an apocalyptic number.

46263010000 is a gapful number since it is divisible by the number (40) 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 46263010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57416386500).

46263010000 is an abundant number, since it is smaller than the sum of its proper divisors (68569763000).

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

46263010000 is a wasteful number, since it uses less digits than its factorization.

46263010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 46263010000 its reverse (1036264), we get a palindrome (46264046264).

The spelling of 46263010000 in words is "forty-six billion, two hundred sixty-three million, ten thousand".