538279339917312 has 1536 divisors, whose sum is σ = 1883257514311680. Its totient is φ = 144919756800000.

The previous prime is 538279339917269. The next prime is 538279339917349. The reversal of 538279339917312 is 213719933972835.

538279339917312 is a `hidden beast` number, since 5 + 3 + 8 + 279 + 3 + 39 + 9 + 1 + 7 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512159219187 + ... + 512159220237.

It is an arithmetic number, because the mean of its divisors is an integer number (1226079110880).

Almost surely, 2^{538279339917312} 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 538279339917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941628757155840).

538279339917312 is an abundant number, since it is smaller than the sum of its proper divisors (1344978174394368).

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

538279339917312 is a wasteful number, since it uses less digits than its factorization.

538279339917312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1298 counting only the distinct ones).

The product of its digits is 462944160, while the sum is 72.

The spelling of 538279339917312 in words is "five hundred thirty-eight trillion, two hundred seventy-nine billion, three hundred thirty-nine million, nine hundred seventeen thousand, three hundred twelve".