46814630400 has 840 divisors, whose sum is σ = 180937252980. Its totient is φ = 11983749120.

The previous prime is 46814630393. The next prime is 46814630417. The reversal of 46814630400 is 403641864.

46814630400 is a `hidden beast` number, since 4 + 6 + 8 + 14 + 630 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28531263744 + 18283366656 = 168912^2 + 135216^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 270604714 + ... + 270604886.

Almost surely, 2^46814630400 is an apocalyptic number.

46814630400 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 46814630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90468626490).

46814630400 is an abundant number, since it is smaller than the sum of its proper divisors (134122622580).

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

46814630400 is an equidigital number, since it uses as much as digits as its factorization.

46814630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 46814630400 in words is "forty-six billion, eight hundred fourteen million, six hundred thirty thousand, four hundred".