46055305800 has 864 divisors, whose sum is σ = 190927601280. Its totient is φ = 9899366400.

The previous prime is 46055305771. The next prime is 46055305801. The reversal of 46055305800 is 850355064.

46055305800 is a `hidden beast` number, since 46 + 0 + 5 + 5 + 30 + 580 + 0 = 666.

It is a super-3 number, since 3×46055305800³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (46055305801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 148087645 + ... + 148087955.

It is an arithmetic number, because the mean of its divisors is an integer number (220981020).

Almost surely, 2^46055305800 is an apocalyptic number.

46055305800 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 46055305800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95463800640).

46055305800 is an abundant number, since it is smaller than the sum of its proper divisors (144872295480).

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

46055305800 is a wasteful number, since it uses less digits than its factorization.

46055305800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 46055305800 in words is "forty-six billion, fifty-five million, three hundred five thousand, eight hundred".