577534205216046 has 256 divisors, whose sum is σ = 1336083207782400. Its totient is φ = 164955275476992.

The previous prime is 577534205216011. The next prime is 577534205216047. The reversal of 577534205216046 is 640612502435775.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577534205216047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14690647686 + ... + 14690686998.

It is an arithmetic number, because the mean of its divisors is an integer number (5219075030400).

Almost surely, 2^{577534205216046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 577534205216046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668041603891200).

577534205216046 is an abundant number, since it is smaller than the sum of its proper divisors (758549002566354).

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

577534205216046 is a wasteful number, since it uses less digits than its factorization.

577534205216046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40443.

The product of its (nonzero) digits is 42336000, while the sum is 57.

The spelling of 577534205216046 in words is "five hundred seventy-seven trillion, five hundred thirty-four billion, two hundred five million, two hundred sixteen thousand, forty-six".