46634305344 has 224 divisors, whose sum is σ = 143446536576. Its totient is φ = 13214023680.

The previous prime is 46634305343. The next prime is 46634305391. The reversal of 46634305344 is 44350343664.

It is a happy number.

46634305344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46634305296 and 46634305305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46634305343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5632792 + ... + 5641064.

It is an arithmetic number, because the mean of its divisors is an integer number (640386324).

Almost surely, 2^46634305344 is an apocalyptic number.

46634305344 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 46634305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71723268288).

46634305344 is an abundant number, since it is smaller than the sum of its proper divisors (96812231232).

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

46634305344 is a wasteful number, since it uses less digits than its factorization.

46634305344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8473 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 46634305344 in words is "forty-six billion, six hundred thirty-four million, three hundred five thousand, three hundred forty-four".