164397063789504 has 896 divisors, whose sum is σ = 614345711616000. Its totient is φ = 41936239226880.

The previous prime is 164397063789503. The next prime is 164397063789509. The reversal of 164397063789504 is 405987360793461.

164397063789504 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 9 + 7 + 0 + 6 + 37 + 89 + 504 = 666.

It is a super-2 number, since 2×164397063789504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164397063789503) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10231962079 + ... + 10231978145.

It is an arithmetic number, because the mean of its divisors is an integer number (685653696000).

Almost surely, 2^{164397063789504} is an apocalyptic number.

164397063789504 is a gapful number since it is divisible by the number (14) 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 164397063789504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307172855808000).

164397063789504 is an abundant number, since it is smaller than the sum of its proper divisors (449948647826496).

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

164397063789504 is a wasteful number, since it uses less digits than its factorization.

164397063789504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18238 (or 18222 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 164397063789504 in words is "one hundred sixty-four trillion, three hundred ninety-seven billion, sixty-three million, seven hundred eighty-nine thousand, five hundred four".