538890814176 has 192 divisors, whose sum is σ = 1672486050816. Its totient is φ = 149777971200.

The previous prime is 538890814117. The next prime is 538890814247. The reversal of 538890814176 is 671418098835.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030281 + ... + 2280311.

It is an arithmetic number, because the mean of its divisors is an integer number (8710864848).

Almost surely, 2^538890814176 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 538890814176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836243025408).

538890814176 is an abundant number, since it is smaller than the sum of its proper divisors (1133595236640).

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

538890814176 is a wasteful number, since it uses less digits than its factorization.

538890814176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250225 (or 250217 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 538890814176 in words is "five hundred thirty-eight billion, eight hundred ninety million, eight hundred fourteen thousand, one hundred seventy-six".