242195851554048 has 1296 divisors, whose sum is σ = 885814854812160. Its totient is φ = 64473874145280.

The previous prime is 242195851554047. The next prime is 242195851554053. The reversal of 242195851554048 is 840455158591242.

It is a happy number.

242195851554048 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 9 + 5 + 85 + 1 + 5 + 540 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242195851554043) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30786299811 + ... + 30786307677.

Almost surely, 2^{242195851554048} is an apocalyptic number.

242195851554048 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 242195851554048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442907427406080).

242195851554048 is an abundant number, since it is smaller than the sum of its proper divisors (643619003258112).

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

242195851554048 is an frugal number, since it uses more digits than its factorization.

242195851554048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 63.

The spelling of 242195851554048 in words is "two hundred forty-two trillion, one hundred ninety-five billion, eight hundred fifty-one million, five hundred fifty-four thousand, forty-eight".