164245625201412 has 96 divisors (see below), whose sum is σ = 456690914467200. Its totient is φ = 50888416116096.

The previous prime is 164245625201389. The next prime is 164245625201419. The reversal of 164245625201412 is 214102526542461.

164245625201412 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 4 + 5 + 6 + 25 + 201 + 412 = 666.

It is not an unprimeable number, because it can be changed into a prime (164245625201419) by changing a digit.

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, 755001883 + ... + 755219394.

It is an arithmetic number, because the mean of its divisors is an integer number (4757197025700).

Almost surely, 2^{164245625201412} is an apocalyptic number.

164245625201412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164245625201412 is an abundant number, since it is smaller than the sum of its proper divisors (292445289265788).

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

164245625201412 is a wasteful number, since it uses less digits than its factorization.

164245625201412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510221362 (or 1510221354 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 164245625201412 in words is "one hundred sixty-four trillion, two hundred forty-five billion, six hundred twenty-five million, two hundred one thousand, four hundred twelve".