46770345216 has 576 divisors, whose sum is σ = 163697909760. Its totient is φ = 12896133120.

The previous prime is 46770345143. The next prime is 46770345229. The reversal of 46770345216 is 61254307764.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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, 297900210 + ... + 297900366.

It is an arithmetic number, because the mean of its divisors is an integer number (284197760).

Almost surely, 2^46770345216 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 46770345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81848954880).

46770345216 is an abundant number, since it is smaller than the sum of its proper divisors (116927564544).

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

46770345216 is a wasteful number, since it uses less digits than its factorization.

46770345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 46770345216 in words is "forty-six billion, seven hundred seventy million, three hundred forty-five thousand, two hundred sixteen".