242615505146166 has 64 divisors (see below), whose sum is σ = 541535633372160. Its totient is φ = 80514075924000.

The previous prime is 242615505146057. The next prime is 242615505146237. The reversal of 242615505146166 is 661641505516242.

It is a happy number.

242615505146166 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 1 + 5 + 5 + 0 + 5 + 14 + 616 + 6 = 666.

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

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1205416 + ... + 22060916.

It is an arithmetic number, because the mean of its divisors is an integer number (8461494271440).

Almost surely, 2^{242615505146166} is an apocalyptic number.

242615505146166 is an abundant number, since it is smaller than the sum of its proper divisors (298920128225994).

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

242615505146166 is a wasteful number, since it uses less digits than its factorization.

242615505146166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20856466 (or 20856460 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 242615505146166 in words is "two hundred forty-two trillion, six hundred fifteen billion, five hundred five million, one hundred forty-six thousand, one hundred sixty-six".