242662146012 has 72 divisors (see below), whose sum is σ = 720633054960. Its totient is φ = 67877521920.

The previous prime is 242662145989. The next prime is 242662146029. The reversal of 242662146012 is 210641266242.

242662146012 is a `hidden beast` number, since 2 + 4 + 26 + 6 + 21 + 4 + 601 + 2 = 666.

242662146012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23563437 + ... + 23573732.

It is an arithmetic number, because the mean of its divisors is an integer number (10008792430).

Almost surely, 2^242662146012 is an apocalyptic number.

242662146012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242662146012 is an abundant number, since it is smaller than the sum of its proper divisors (477970908948).

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

242662146012 is a wasteful number, since it uses less digits than its factorization.

242662146012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47137203 (or 47137198 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 242662146012 in words is "two hundred forty-two billion, six hundred sixty-two million, one hundred forty-six thousand, twelve".