46899433728 has 288 divisors, whose sum is σ = 161502163200. Its totient is φ = 13146292224.

The previous prime is 46899433727. The next prime is 46899433753. The reversal of 46899433728 is 82733499864.

46899433728 is a `hidden beast` number, since 46 + 8 + 99 + 433 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46899433727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2555208 + ... + 2573496.

It is an arithmetic number, because the mean of its divisors is an integer number (560771400).

Almost surely, 2^46899433728 is an apocalyptic number.

46899433728 is a gapful number since it is divisible by the number (48) 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 46899433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80751081600).

46899433728 is an abundant number, since it is smaller than the sum of its proper divisors (114602729472).

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

46899433728 is a wasteful number, since it uses less digits than its factorization.

46899433728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18374 (or 18354 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 46899433728 in words is "forty-six billion, eight hundred ninety-nine million, four hundred thirty-three thousand, seven hundred twenty-eight".