542013321503646 has 128 divisors (see below), whose sum is σ = 1316589769728000. Its totient is φ = 164542527152640.

The previous prime is 542013321503509. The next prime is 542013321503657. The reversal of 542013321503646 is 646305123310245.

542013321503646 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 133 + 2 + 1 + 503 + 6 + 4 + 6 = 666.

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, 301127455 + ... + 302922053.

It is an arithmetic number, because the mean of its divisors is an integer number (10285857576000).

Almost surely, 2^{542013321503646} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542013321503646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658294884864000).

542013321503646 is an abundant number, since it is smaller than the sum of its proper divisors (774576448224354).

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

542013321503646 is a wasteful number, since it uses less digits than its factorization.

542013321503646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805271 (or 1805265 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 542013321503646 in words is "five hundred forty-two trillion, thirteen billion, three hundred twenty-one million, five hundred three thousand, six hundred forty-six".