164787000048000 has 7680 divisors, whose sum is σ = 776257566289920. Its totient is φ = 34247245824000.

The previous prime is 164787000047941. The next prime is 164787000048029. The reversal of 164787000048000 is 840000787461.

164787000048000 is a `hidden beast` number, since 164 + 7 + 8 + 7 + 0 + 0 + 0 + 0 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3506106383977 + ... + 3506106384023.

It is an arithmetic number, because the mean of its divisors is an integer number (101075203944).

Almost surely, 2^{164787000048000} is an apocalyptic number.

164787000048000 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 164787000048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388128783144960).

164787000048000 is an abundant number, since it is smaller than the sum of its proper divisors (611470566241920).

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

164787000048000 is a wasteful number, since it uses less digits than its factorization.

164787000048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 164787000048000 in words is "one hundred sixty-four trillion, seven hundred eighty-seven billion, forty-eight thousand".