242463665243520 has 2048 divisors, whose sum is σ = 1053883975680000. Its totient is φ = 51510055403520.

The previous prime is 242463665243509. The next prime is 242463665243557. The reversal of 242463665243520 is 25342566364242.

242463665243520 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 6 + 3 + 66 + 52 + 4 + 3 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10056965226 + ... + 10056989334.

It is an arithmetic number, because the mean of its divisors is an integer number (514591785000).

Almost surely, 2^{242463665243520} is an apocalyptic number.

242463665243520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242463665243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526941987840000).

242463665243520 is an abundant number, since it is smaller than the sum of its proper divisors (811420310436480).

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

242463665243520 is a wasteful number, since it uses less digits than its factorization.

242463665243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24281 (or 24263 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 242463665243520 in words is "two hundred forty-two trillion, four hundred sixty-three billion, six hundred sixty-five million, two hundred forty-three thousand, five hundred twenty".