63213104302164 has 288 divisors, whose sum is σ = 171459424281600. Its totient is φ = 19592808560640.

The previous prime is 63213104302151. The next prime is 63213104302171. The reversal of 63213104302164 is 46120340131236.

63213104302164 is a `hidden beast` number, since 6 + 3 + 2 + 1 + 3 + 1 + 0 + 430 + 216 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5753439879 + ... + 5753450865.

It is an arithmetic number, because the mean of its divisors is an integer number (595345223200).

Almost surely, 2^{63213104302164} 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 63213104302164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85729712140800).

63213104302164 is an abundant number, since it is smaller than the sum of its proper divisors (108246319979436).

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

63213104302164 is a wasteful number, since it uses less digits than its factorization.

63213104302164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11903 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 63213104302164 in words is "sixty-three trillion, two hundred thirteen billion, one hundred four million, three hundred two thousand, one hundred sixty-four".