46054195200 has 810 divisors, whose sum is σ = 183577314102. Its totient is φ = 10970726400.

The previous prime is 46054195183. The next prime is 46054195217. The reversal of 46054195200 is 259145064.

46054195200 is a `hidden beast` number, since 4 + 6 + 0 + 541 + 95 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46054195183) and next prime (46054195217).

It can be written as a sum of positive squares in 3 ways, for example, as 141705216 + 45912489984 = 11904^2 + 214272^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1485619185 + ... + 1485619215.

Almost surely, 2^46054195200 is an apocalyptic number.

46054195200 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 46054195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91788657051).

46054195200 is an abundant number, since it is smaller than the sum of its proper divisors (137523118902).

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

46054195200 is a wasteful number, since it uses less digits than its factorization.

46054195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 46054195200 in words is "forty-six billion, fifty-four million, one hundred ninety-five thousand, two hundred".