542337787733245 has 48 divisors (see below), whose sum is σ = 761785058631168. Its totient is φ = 369567819976320.

The previous prime is 542337787733221. The next prime is 542337787733251.

It is a happy number.

542337787733245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542337787733245 - 2⁵ = 542337787733213 is a prime.

It is a hoax number, since the sum of its digits (70) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376147060 + ... + 377586130.

It is an arithmetic number, because the mean of its divisors is an integer number (15870522054816).

Almost surely, 2^{542337787733245} is an apocalyptic number.

It is an amenable number.

542337787733245 is a deficient number, since it is larger than the sum of its proper divisors (219447270897923).

542337787733245 is a wasteful number, since it uses less digits than its factorization.

542337787733245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448690 (or 1448683 counting only the distinct ones).

The product of its digits is 2489356800, while the sum is 70.

The spelling of 542337787733245 in words is "five hundred forty-two trillion, three hundred thirty-seven billion, seven hundred eighty-seven million, seven hundred thirty-three thousand, two hundred forty-five".