46916441600 has 720 divisors, whose sum is σ = 148081950720. Its totient is φ = 14631321600.

The previous prime is 46916441597. The next prime is 46916441633. The reversal of 46916441600 is 614461964.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 369420737 + ... + 369420863.

It is an arithmetic number, because the mean of its divisors is an integer number (205669376).

Almost surely, 2^46916441600 is an apocalyptic number.

46916441600 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 46916441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74040975360).

46916441600 is an abundant number, since it is smaller than the sum of its proper divisors (101165509120).

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

46916441600 is a wasteful number, since it uses less digits than its factorization.

46916441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 46916441600 in words is "forty-six billion, nine hundred sixteen million, four hundred forty-one thousand, six hundred".