242214808899456 has 384 divisors, whose sum is σ = 737243179293600. Its totient is φ = 78260101890048.

The previous prime is 242214808899449. The next prime is 242214808899457. The reversal of 242214808899456 is 654998808412242.

242214808899456 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 1 + 4 + 8 + 0 + 88 + 99 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242214808899457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261748376 + ... + 1261940328.

Almost surely, 2^{242214808899456} 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 242214808899456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368621589646800).

242214808899456 is an abundant number, since it is smaller than the sum of its proper divisors (495028370394144).

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

242214808899456 is an equidigital number, since it uses as much as digits as its factorization.

242214808899456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192195 (or 192094 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 242214808899456 in words is "two hundred forty-two trillion, two hundred fourteen billion, eight hundred eight million, eight hundred ninety-nine thousand, four hundred fifty-six".