146207213568 has 576 divisors, whose sum is σ = 487479283200. Its totient is φ = 43535646720.

The previous prime is 146207213549. The next prime is 146207213591. The reversal of 146207213568 is 865312702641.

146207213568 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 0 + 72 + 13 + 568 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4716361713 + ... + 4716361743.

It is an arithmetic number, because the mean of its divisors is an integer number (846318200).

Almost surely, 2^146207213568 is an apocalyptic number.

146207213568 is a gapful number since it is divisible by the number (18) 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 146207213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243739641600).

146207213568 is an abundant number, since it is smaller than the sum of its proper divisors (341272069632).

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

146207213568 is an frugal number, since it uses more digits than its factorization.

146207213568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 146207213568 in words is "one hundred forty-six billion, two hundred seven million, two hundred thirteen thousand, five hundred sixty-eight".