164362253235312 has 160 divisors (see below), whose sum is σ = 477823016012544. Its totient is φ = 48259041177600.

The previous prime is 164362253235263. The next prime is 164362253235317. The reversal of 164362253235312 is 213532352263461.

It is a happy number.

164362253235312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164362253235312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164362253235317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35925273 + ... + 40241144.

Almost surely, 2^{164362253235312} is an apocalyptic number.

164362253235312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164362253235312 is an abundant number, since it is smaller than the sum of its proper divisors (313460762777232).

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

164362253235312 is a wasteful number, since it uses less digits than its factorization.

164362253235312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76166567 (or 76166561 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The spelling of 164362253235312 in words is "one hundred sixty-four trillion, three hundred sixty-two billion, two hundred fifty-three million, two hundred thirty-five thousand, three hundred twelve".