242258265317376 has 2240 divisors, whose sum is σ = 965622429066240. Its totient is φ = 58620837888000.

The previous prime is 242258265317351. The next prime is 242258265317447. The reversal of 242258265317376 is 673713562852242.

242258265317376 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 5 + 8 + 26 + 531 + 7 + 3 + 76 = 666.

It is a super-2 number, since 2×242258265317376² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59217369091 + ... + 59217373181.

Almost surely, 2^{242258265317376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242258265317376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482811214533120).

242258265317376 is an abundant number, since it is smaller than the sum of its proper divisors (723364163748864).

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

242258265317376 is a wasteful number, since it uses less digits than its factorization.

242258265317376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4194 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 242258265317376 in words is "two hundred forty-two trillion, two hundred fifty-eight billion, two hundred sixty-five million, three hundred seventeen thousand, three hundred seventy-six".