46098016800 has 864 divisors, whose sum is σ = 178728560640. Its totient is φ = 10213632000.

The previous prime is 46098016781. The next prime is 46098016837. The reversal of 46098016800 is 861089064.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 583519161 + ... + 583519239.

It is an arithmetic number, because the mean of its divisors is an integer number (206861760).

Almost surely, 2^46098016800 is an apocalyptic number.

46098016800 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 46098016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89364280320).

46098016800 is an abundant number, since it is smaller than the sum of its proper divisors (132630543840).

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

46098016800 is a wasteful number, since it uses less digits than its factorization.

46098016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 46098016800 in words is "forty-six billion, ninety-eight million, sixteen thousand, eight hundred".