242332211200662 has 128 divisors (see below), whose sum is σ = 618435284544000. Its totient is φ = 69564142189440.

The previous prime is 242332211200661. The next prime is 242332211200747. The reversal of 242332211200662 is 266002112233242.

242332211200662 is a `hidden beast` number, since 2 + 4 + 233 + 2 + 211 + 200 + 6 + 6 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242332211200661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160559664 + ... + 162061932.

It is an arithmetic number, because the mean of its divisors is an integer number (4831525660500).

Almost surely, 2^{242332211200662} is an apocalyptic number.

242332211200662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242332211200662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309217642272000).

242332211200662 is an abundant number, since it is smaller than the sum of its proper divisors (376103073343338).

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

242332211200662 is a wasteful number, since it uses less digits than its factorization.

242332211200662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516603 (or 1516597 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 242332211200662 in words is "two hundred forty-two trillion, three hundred thirty-two billion, two hundred eleven million, two hundred thousand, six hundred sixty-two".