46454542200 has 384 divisors, whose sum is σ = 176211936000. Its totient is φ = 11154931200.

The previous prime is 46454542171. The next prime is 46454542237. The reversal of 46454542200 is 224545464.

46454542200 is a `hidden beast` number, since 4 + 64 + 54 + 542 + 2 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6352146 + ... + 6359454.

It is an arithmetic number, because the mean of its divisors is an integer number (458885250).

Almost surely, 2^46454542200 is an apocalyptic number.

46454542200 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 46454542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88105968000).

46454542200 is an abundant number, since it is smaller than the sum of its proper divisors (129757393800).

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

46454542200 is a wasteful number, since it uses less digits than its factorization.

46454542200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 7437 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 46454542200 in words is "forty-six billion, four hundred fifty-four million, five hundred forty-two thousand, two hundred".