46621379160216 has 384 divisors, whose sum is σ = 156068415360000. Its totient is φ = 12270692229120.

The previous prime is 46621379160179. The next prime is 46621379160217. The reversal of 46621379160216 is 61206197312664.

It is a happy number.

46621379160216 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 13 + 7 + 9 + 1 + 602 + 16 = 666.

46621379160216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46621379160217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81651285 + ... + 82220283.

It is an arithmetic number, because the mean of its divisors is an integer number (406428165000).

Almost surely, 2^{46621379160216} 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 46621379160216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78034207680000).

46621379160216 is an abundant number, since it is smaller than the sum of its proper divisors (109447036199784).

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

46621379160216 is a wasteful number, since it uses less digits than its factorization.

46621379160216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569239 (or 569232 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 46621379160216 in words is "forty-six trillion, six hundred twenty-one billion, three hundred seventy-nine million, one hundred sixty thousand, two hundred sixteen".