242337155816448 has 4224 divisors, whose sum is σ = 991105850972160. Its totient is φ = 57682522275840.

The previous prime is 242337155816429. The next prime is 242337155816513. The reversal of 242337155816448 is 844618551733242.

242337155816448 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 3 + 7 + 1 + 5 + 581 + 6 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 1230137846686 + ... + 1230137846882.

It is an arithmetic number, because the mean of its divisors is an integer number (234636801840).

Almost surely, 2^{242337155816448} is an apocalyptic number.

242337155816448 is a gapful number since it is divisible by the number (28) 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 242337155816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495552925486080).

242337155816448 is an abundant number, since it is smaller than the sum of its proper divisors (748768695155712).

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

242337155816448 is a wasteful number, since it uses less digits than its factorization.

242337155816448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 377 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 242337155816448 in words is "two hundred forty-two trillion, three hundred thirty-seven billion, one hundred fifty-five million, eight hundred sixteen thousand, four hundred forty-eight".