146612601164172 has 96 divisors (see below), whose sum is σ = 425544431929344. Its totient is φ = 38598134400000.

The previous prime is 146612601164047. The next prime is 146612601164191. The reversal of 146612601164172 is 271461106216641.

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 31 ways as a sum of consecutive naturals, for example, 2512870204 + ... + 2512928547.

It is an arithmetic number, because the mean of its divisors is an integer number (4432754499264).

Almost surely, 2^{146612601164172} is an apocalyptic number.

146612601164172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146612601164172 is an abundant number, since it is smaller than the sum of its proper divisors (278931830765172).

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

146612601164172 is a wasteful number, since it uses less digits than its factorization.

146612601164172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025798799 (or 5025798797 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 146612601164172 in words is "one hundred forty-six trillion, six hundred twelve billion, six hundred one million, one hundred sixty-four thousand, one hundred seventy-two".