10046821330 has 288 divisors, whose sum is σ = 25415144496. Its totient is φ = 2824077312.

The previous prime is 10046821327. The next prime is 10046821333. The reversal of 10046821330 is 3312864001.

It is an interprime number because it is at equal distance from previous prime (10046821327) and next prime (10046821333).

It can be written as a sum of positive squares in 8 ways, for example, as 7087787721 + 2959033609 = 84189^2 + 54397^2 .

It is not an unprimeable number, because it can be changed into a prime (10046821333) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39092562 + ... + 39092818.

Almost surely, 2^10046821330 is an apocalyptic number.

10046821330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10046821330 is an abundant number, since it is smaller than the sum of its proper divisors (15368323166).

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

10046821330 is a wasteful number, since it uses less digits than its factorization.

10046821330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10046821330 in words is "ten billion, forty-six million, eight hundred twenty-one thousand, three hundred thirty".