164340636456120 has 64 divisors (see below), whose sum is σ = 495776221776000. Its totient is φ = 43579341952128.

The previous prime is 164340636456109. The next prime is 164340636456131. The reversal of 164340636456120 is 21654636043461.

It is an interprime number because it is at equal distance from previous prime (164340636456109) and next prime (164340636456131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3825412330 + ... + 3825455289.

It is an arithmetic number, because the mean of its divisors is an integer number (7746503465250).

Almost surely, 2^{164340636456120} is an apocalyptic number.

164340636456120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164340636456120 is an abundant number, since it is smaller than the sum of its proper divisors (331435585319880).

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

164340636456120 is a wasteful number, since it uses less digits than its factorization.

164340636456120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650867812 (or 7650867808 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 164340636456120 in words is "one hundred sixty-four trillion, three hundred forty billion, six hundred thirty-six million, four hundred fifty-six thousand, one hundred twenty".