46555319808 has 480 divisors, whose sum is σ = 150347281920. Its totient is φ = 14213283840.

The previous prime is 46555319777. The next prime is 46555319813. The reversal of 46555319808 is 80891355564.

46555319808 is a `hidden beast` number, since 4 + 6 + 5 + 553 + 1 + 9 + 80 + 8 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171790713 + ... + 171790983.

It is an arithmetic number, because the mean of its divisors is an integer number (313223504).

Almost surely, 2^46555319808 is an apocalyptic number.

46555319808 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 46555319808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75173640960).

46555319808 is an abundant number, since it is smaller than the sum of its proper divisors (103791962112).

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

46555319808 is a wasteful number, since it uses less digits than its factorization.

46555319808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 46555319808 in words is "forty-six billion, five hundred fifty-five million, three hundred nineteen thousand, eight hundred eight".