46085500800 has 480 divisors, whose sum is σ = 175958659800. Its totient is φ = 11863756800.

The previous prime is 46085500709. The next prime is 46085500801. The reversal of 46085500800 is 800558064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46085500801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 7513735 + ... + 7519865.

Almost surely, 2^46085500800 is an apocalyptic number.

46085500800 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 46085500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87979329900).

46085500800 is an abundant number, since it is smaller than the sum of its proper divisors (129873159000).

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

46085500800 is a wasteful number, since it uses less digits than its factorization.

46085500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 6170 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 46085500800 in words is "forty-six billion, eighty-five million, five hundred thousand, eight hundred".