46839428064 has 672 divisors, whose sum is σ = 171211017600. Its totient is φ = 12395566080.

The previous prime is 46839428063. The next prime is 46839428081. The reversal of 46839428064 is 46082493864.

46839428064 is a `hidden beast` number, since 468 + 3 + 9 + 42 + 80 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46839428064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46839428063) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 63381807 + ... + 63382545.

It is an arithmetic number, because the mean of its divisors is an integer number (254778300).

Almost surely, 2^46839428064 is an apocalyptic number.

46839428064 is a gapful number since it is divisible by the number (44) 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 46839428064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85605508800).

46839428064 is an abundant number, since it is smaller than the sum of its proper divisors (124371589536).

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

46839428064 is a wasteful number, since it uses less digits than its factorization.

46839428064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 46839428064 in words is "forty-six billion, eight hundred thirty-nine million, four hundred twenty-eight thousand, sixty-four".