164125531377024 has 1024 divisors, whose sum is σ = 541687315169280. Its totient is φ = 43041167769600.

The previous prime is 164125531377001. The next prime is 164125531377029. The reversal of 164125531377024 is 420773135521461.

164125531377024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164125531377029) 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, 20037296769 + ... + 20037304959.

It is an arithmetic number, because the mean of its divisors is an integer number (528991518720).

Almost surely, 2^{164125531377024} is an apocalyptic number.

164125531377024 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 164125531377024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270843657584640).

164125531377024 is an abundant number, since it is smaller than the sum of its proper divisors (377561783792256).

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

164125531377024 is a wasteful number, since it uses less digits than its factorization.

164125531377024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8447 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

Adding to 164125531377024 its reverse (420773135521461), we get a palindrome (584898666898485).

The spelling of 164125531377024 in words is "one hundred sixty-four trillion, one hundred twenty-five billion, five hundred thirty-one million, three hundred seventy-seven thousand, twenty-four".