162964140000 has 480 divisors, whose sum is σ = 566787070080. Its totient is φ = 40870656000.

The previous prime is 162964139963. The next prime is 162964140047. The reversal of 162964140000 is 41469261.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 185819562 + ... + 185820438.

It is an arithmetic number, because the mean of its divisors is an integer number (1180806396).

Almost surely, 2^162964140000 is an apocalyptic number.

162964140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162964140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283393535040).

162964140000 is an abundant number, since it is smaller than the sum of its proper divisors (403822930080).

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

162964140000 is a wasteful number, since it uses less digits than its factorization.

162964140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 162964140000 in words is "one hundred sixty-two billion, nine hundred sixty-four million, one hundred forty thousand".