4537946198016 has 2080 divisors, whose sum is σ = 18386900978688. Its totient is φ = 1083553873920.

The previous prime is 4537946197987. The next prime is 4537946198083. The reversal of 4537946198016 is 6108916497354.

4537946198016 is a `hidden beast` number, since 4 + 5 + 3 + 7 + 9 + 4 + 619 + 8 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 105533632491 + ... + 105533632533.

Almost surely, 2^{4537946198016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4537946198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193450489344).

4537946198016 is an abundant number, since it is smaller than the sum of its proper divisors (13848954780672).

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

4537946198016 is an frugal number, since it uses more digits than its factorization.

4537946198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 4537946198016 in words is "four trillion, five hundred thirty-seven billion, nine hundred forty-six million, one hundred ninety-eight thousand, sixteen".