538013023340544 has 480 divisors, whose sum is σ = 1630279995664320. Its totient is φ = 176742184550400.

The previous prime is 538013023340543. The next prime is 538013023340567. The reversal of 538013023340544 is 445043320310835.

It is a happy number.

538013023340544 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 1 + 3 + 0 + 233 + 405 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 538013023340544.

It is not an unprimeable number, because it can be changed into a prime (538013023340543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36052597467 + ... + 36052612389.

It is an arithmetic number, because the mean of its divisors is an integer number (3396416657634).

Almost surely, 2^{538013023340544} is an apocalyptic number.

538013023340544 is a gapful number since it is divisible by the number (54) 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 538013023340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815139997832160).

538013023340544 is an abundant number, since it is smaller than the sum of its proper divisors (1092266972323776).

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

538013023340544 is a wasteful number, since it uses less digits than its factorization.

538013023340544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18089 (or 18060 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 538013023340544 in words is "five hundred thirty-eight trillion, thirteen billion, twenty-three million, three hundred forty thousand, five hundred forty-four".