4959436805312 has 112 divisors (see below), whose sum is σ = 11032212603552. Its totient is φ = 2192170106880.

The previous prime is 4959436805261. The next prime is 4959436805321. The reversal of 4959436805312 is 2135086349594.

It is a happy number.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48737078 + ... + 48838730.

It is an arithmetic number, because the mean of its divisors is an integer number (98501898246).

Almost surely, 2^{4959436805312} 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 4959436805312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516106301776).

4959436805312 is an abundant number, since it is smaller than the sum of its proper divisors (6072775798240).

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

4959436805312 is a wasteful number, since it uses less digits than its factorization.

4959436805312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103586 (or 103576 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 59.

The spelling of 4959436805312 in words is "four trillion, nine hundred fifty-nine billion, four hundred thirty-six million, eight hundred five thousand, three hundred twelve".