46852800452736 has 128 divisors (see below), whose sum is σ = 127851623424960. Its totient is φ = 15191308062720.

The previous prime is 46852800452723. The next prime is 46852800452737. The reversal of 46852800452736 is 63725400825864.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 46852800452736.

It is not an unprimeable number, because it can be changed into a prime (46852800452737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51221151 + ... + 52127841.

Almost surely, 2^{46852800452736} 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 46852800452736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63925811712480).

46852800452736 is an abundant number, since it is smaller than the sum of its proper divisors (80998822972224).

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

46852800452736 is a wasteful number, since it uses less digits than its factorization.

46852800452736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910382 (or 910370 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 46852800452736 in words is "forty-six trillion, eight hundred fifty-two billion, eight hundred million, four hundred fifty-two thousand, seven hundred thirty-six".