46849659504312 has 256 divisors, whose sum is σ = 139198176000000. Its totient is φ = 13129933200384.

The previous prime is 46849659504293. The next prime is 46849659504313. The reversal of 46849659504312 is 21340595694864.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46849659504313) 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 63 ways as a sum of consecutive naturals, for example, 2313667564 + ... + 2313687812.

It is an arithmetic number, because the mean of its divisors is an integer number (543742875000).

Almost surely, 2^{46849659504312} is an apocalyptic number.

46849659504312 is a gapful number since it is divisible by the number (42) 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 46849659504312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69599088000000).

46849659504312 is an abundant number, since it is smaller than the sum of its proper divisors (92348516495688).

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

46849659504312 is a wasteful number, since it uses less digits than its factorization.

46849659504312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25635 (or 25617 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 66.

The spelling of 46849659504312 in words is "forty-six trillion, eight hundred forty-nine billion, six hundred fifty-nine million, five hundred four thousand, three hundred twelve".