4736385446016 has 256 divisors, whose sum is σ = 14628895488000. Its totient is φ = 1329690427392.

The previous prime is 4736385445997. The next prime is 4736385446033. The reversal of 4736385446016 is 6106445836374.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413760805 + ... + 413772251.

It is an arithmetic number, because the mean of its divisors is an integer number (57144123000).

Almost surely, 2^{4736385446016} 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 4736385446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314447744000).

4736385446016 is an abundant number, since it is smaller than the sum of its proper divisors (9892510041984).

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

4736385446016 is a wasteful number, since it uses less digits than its factorization.

4736385446016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14139 (or 14127 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 4736385446016 in words is "four trillion, seven hundred thirty-six billion, three hundred eighty-five million, four hundred forty-six thousand, sixteen".