538145980416 has 378 divisors, whose sum is σ = 1760399707332. Its totient is φ = 163074539520.

The previous prime is 538145980403. The next prime is 538145980423. The reversal of 538145980416 is 614089541835.

It is a happy number.

538145980416 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 4 + 598 + 0 + 41 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 48922361851 + ... + 48922361861.

Almost surely, 2^538145980416 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 538145980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880199853666).

538145980416 is an abundant number, since it is smaller than the sum of its proper divisors (1222253726916).

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

538145980416 is an frugal number, since it uses more digits than its factorization.

538145980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 538145980416 in words is "five hundred thirty-eight billion, one hundred forty-five million, nine hundred eighty thousand, four hundred sixteen".