46785666658764 has 192 divisors, whose sum is σ = 128745701683200. Its totient is φ = 13072909536000.

The previous prime is 46785666658723. The next prime is 46785666658789.

46785666658764 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13379929 + ... + 16510415.

It is an arithmetic number, because the mean of its divisors is an integer number (670550529600).

Almost surely, 2^{46785666658764} is an apocalyptic number.

46785666658764 is a gapful number since it is divisible by the number (44) 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 46785666658764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64372850841600).

46785666658764 is an abundant number, since it is smaller than the sum of its proper divisors (81960035024436).

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

46785666658764 is a wasteful number, since it uses less digits than its factorization.

46785666658764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130684 (or 3130682 counting only the distinct ones).

The product of its digits is 58525286400, while the sum is 84.

The spelling of 46785666658764 in words is "forty-six trillion, seven hundred eighty-five billion, six hundred sixty-six million, six hundred fifty-eight thousand, seven hundred sixty-four".