541831432464 has 675 divisors, whose sum is σ = 1922150800647. Its totient is φ = 146912185728.

The previous prime is 541831432391. The next prime is 541831432507. The reversal of 541831432464 is 464234138145.

The square root of 541831432464 is 736092.

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

541831432464 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 314 + 324 + 6 + 4 = 666.

It is a super-2 number, since 2×541831432464² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4266389169 + ... + 4266389295.

Almost surely, 2^541831432464 is an apocalyptic number.

541831432464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

541831432464 is the 736092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541831432464

541831432464 is an abundant number, since it is smaller than the sum of its proper divisors (1380319368183).

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

541831432464 is a wasteful number, since it uses less digits than its factorization.

541831432464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 162 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 541831432464 in words is "five hundred forty-one billion, eight hundred thirty-one million, four hundred thirty-two thousand, four hundred sixty-four".