46616112270306 has 128 divisors (see below), whose sum is σ = 109835429760000. Its totient is φ = 14614246281600.

The previous prime is 46616112270289. The next prime is 46616112270319. The reversal of 46616112270306 is 60307221161664.

46616112270306 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 61 + 12 + 270 + 306 = 666.

It is a super-2 number, since 2×46616112270306² (a number of 28 digits) contains 22 as substring.

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, 110164885 + ... + 110587223.

It is an arithmetic number, because the mean of its divisors is an integer number (858089295000).

Almost surely, 2^{46616112270306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46616112270306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54917714880000).

46616112270306 is an abundant number, since it is smaller than the sum of its proper divisors (63219317489694).

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

46616112270306 is a wasteful number, since it uses less digits than its factorization.

46616112270306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423149 (or 423143 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 46616112270306 in words is "forty-six trillion, six hundred sixteen billion, one hundred twelve million, two hundred seventy thousand, three hundred six".