541367793729 has 189 divisors, whose sum is σ = 1007406983097. Its totient is φ = 289884365568.

The previous prime is 541367793721. The next prime is 541367793767. The reversal of 541367793729 is 927397763145.

It is a happy number.

The square root of 541367793729 is 735777.

It is a perfect power (a square), and thus also a powerful number.

541367793729 is a `hidden beast` number, since 5 + 413 + 67 + 7 + 93 + 72 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 287097714225 + 254270079504 = 535815^2 + 504252^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 541367793729 - 2³ = 541367793721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (541367793721) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2364051387 + ... + 2364051615.

Almost surely, 2^541367793729 is an apocalyptic number.

541367793729 is the 735777-th square number.

541367793729 is the 367889-th centered octagonal number.

It is an amenable number.

541367793729 is a deficient number, since it is larger than the sum of its proper divisors (466039189368).

541367793729 is an frugal number, since it uses more digits than its factorization.

541367793729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 256 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 63.

The spelling of 541367793729 in words is "five hundred forty-one billion, three hundred sixty-seven million, seven hundred ninety-three thousand, seven hundred twenty-nine".