162849905064000 has 5376 divisors, whose sum is σ = 778400726777856. Its totient is φ = 31781376000000.

The previous prime is 162849905063941. The next prime is 162849905064061. The reversal of 162849905064000 is 460509948261.

162849905064000 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 4 + 9 + 90 + 506 + 40 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 852617303905 + ... + 852617304095.

It is an arithmetic number, because the mean of its divisors is an integer number (144791801856).

Almost surely, 2^{162849905064000} is an apocalyptic number.

162849905064000 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 162849905064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389200363388928).

162849905064000 is an abundant number, since it is smaller than the sum of its proper divisors (615550821713856).

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

162849905064000 is a wasteful number, since it uses less digits than its factorization.

162849905064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 162849905064000 in words is "one hundred sixty-two trillion, eight hundred forty-nine billion, nine hundred five million, sixty-four thousand".