146219196016 has 80 divisors (see below), whose sum is σ = 290231424000. Its totient is φ = 71345684480.

The previous prime is 146219195987. The next prime is 146219196037. The reversal of 146219196016 is 610691912641.

146219196016 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48754485 + ... + 48757483.

It is an arithmetic number, because the mean of its divisors is an integer number (3627892800).

Almost surely, 2^146219196016 is an apocalyptic number.

146219196016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146219196016 is a deficient number, since it is larger than the sum of its proper divisors (144012227984).

146219196016 is a wasteful number, since it uses less digits than its factorization.

146219196016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 146219196016 in words is "one hundred forty-six billion, two hundred nineteen million, one hundred ninety-six thousand, sixteen".