542167040761245 has 32 divisors (see below), whose sum is σ = 994944533591040. Its totient is φ = 279828150068160.

The previous prime is 542167040761141. The next prime is 542167040761261.

542167040761245 is a `hidden beast` number, since 5 + 4 + 2 + 16 + 7 + 0 + 4 + 0 + 7 + 612 + 4 + 5 = 666.

542167040761245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542167040761245 - 2²¹ = 542167038664093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542167040761191 and 542167040761200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64775030554 + ... + 64775038923.

It is an arithmetic number, because the mean of its divisors is an integer number (31092016674720).

Almost surely, 2^{542167040761245} is an apocalyptic number.

It is an amenable number.

542167040761245 is a deficient number, since it is larger than the sum of its proper divisors (452777492829795).

542167040761245 is a wasteful number, since it uses less digits than its factorization.

542167040761245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129550069522 (or 129550069516 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 542167040761245 in words is "five hundred forty-two trillion, one hundred sixty-seven billion, forty million, seven hundred sixty-one thousand, two hundred forty-five".