242622633345024 has 352 divisors, whose sum is σ = 663829987000320. Its totient is φ = 78785839890432.

The previous prime is 242622633345013. The next prime is 242622633345067. The reversal of 242622633345024 is 420543336226242.

It is a happy number.

It is a super-2 number, since 2×242622633345024² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 67714939137 + ... + 67714942719.

Almost surely, 2^{242622633345024} is an apocalyptic number.

242622633345024 is a gapful number since it is divisible by the number (24) 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 242622633345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331914993500160).

242622633345024 is an abundant number, since it is smaller than the sum of its proper divisors (421207353655296).

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

242622633345024 is an frugal number, since it uses more digits than its factorization.

242622633345024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 48.

The spelling of 242622633345024 in words is "two hundred forty-two trillion, six hundred twenty-two billion, six hundred thirty-three million, three hundred forty-five thousand, twenty-four".