46899648000 has 800 divisors, whose sum is σ = 178425767520. Its totient is φ = 12242534400.

The previous prime is 46899647959. The next prime is 46899648017. The reversal of 46899648000 is 84699864.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430271946 + ... + 430272054.

Almost surely, 2^46899648000 is an apocalyptic number.

46899648000 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 46899648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89212883760).

46899648000 is an abundant number, since it is smaller than the sum of its proper divisors (131526119520).

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

46899648000 is an equidigital number, since it uses as much as digits as its factorization.

46899648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

It can be divided in two parts, 4689964 and 8000, that added together give a palindrome (4697964).

The spelling of 46899648000 in words is "forty-six billion, eight hundred ninety-nine million, six hundred forty-eight thousand".