541516061564316 has 192 divisors, whose sum is σ = 1465758024192000. Its totient is φ = 172729818938880.

The previous prime is 541516061564287. The next prime is 541516061564347. The reversal of 541516061564316 is 613465160615145.

541516061564316 is a `hidden beast` number, since 5 + 4 + 1 + 5 + 1 + 6 + 0 + 61 + 564 + 3 + 16 = 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 63 ways as a sum of consecutive naturals, for example, 113706525 + ... + 118373163.

It is an arithmetic number, because the mean of its divisors is an integer number (7634156376000).

Almost surely, 2^{541516061564316} 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 541516061564316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732879012096000).

541516061564316 is an abundant number, since it is smaller than the sum of its proper divisors (924241962627684).

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

541516061564316 is a wasteful number, since it uses less digits than its factorization.

541516061564316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667169 (or 4667161 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 541516061564316 in words is "five hundred forty-one trillion, five hundred sixteen billion, sixty-one million, five hundred sixty-four thousand, three hundred sixteen".