542711717946 has 160 divisors (see below), whose sum is σ = 1256958648000. Its totient is φ = 174946003200.

The previous prime is 542711717897. The next prime is 542711718007. The reversal of 542711717946 is 649717117245.

542711717946 is a `hidden beast` number, since 5 + 427 + 1 + 1 + 7 + 179 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 542711717892 and 542711717901.

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 79 ways as a sum of consecutive naturals, for example, 157351630 + ... + 157355078.

It is an arithmetic number, because the mean of its divisors is an integer number (7855991550).

Almost surely, 2^542711717946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542711717946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628479324000).

542711717946 is an abundant number, since it is smaller than the sum of its proper divisors (714246930054).

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

542711717946 is a wasteful number, since it uses less digits than its factorization.

542711717946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3777 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 542711717946 in words is "five hundred forty-two billion, seven hundred eleven million, seven hundred seventeen thousand, nine hundred forty-six".