538214098176 has 504 divisors, whose sum is σ = 1650368442240. Its totient is φ = 175053312000.

The previous prime is 538214098151. The next prime is 538214098187. The reversal of 538214098176 is 671890412835.

538214098176 is a `hidden beast` number, since 5 + 382 + 1 + 4 + 0 + 98 + 176 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2000795770 + ... + 2000796038.

It is an arithmetic number, because the mean of its divisors is an integer number (3274540560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅538214098176 = 1076428196352, but 3⋅538214098176 = 1614642294528 is not.

Almost surely, 2^538214098176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538214098176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825184221120).

538214098176 is an abundant number, since it is smaller than the sum of its proper divisors (1112154344064).

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

538214098176 is an equidigital number, since it uses as much as digits as its factorization.

538214098176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 538214098176 in words is "five hundred thirty-eight billion, two hundred fourteen million, ninety-eight thousand, one hundred seventy-six".