242561544192 has 416 divisors, whose sum is σ = 802345800960. Its totient is φ = 71778631680.

The previous prime is 242561544187. The next prime is 242561544263. The reversal of 242561544192 is 291445165242.

242561544192 is a `hidden beast` number, since 2 + 4 + 25 + 615 + 4 + 4 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×242561544192² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52307698 + ... + 52312334.

Almost surely, 2^242561544192 is an apocalyptic number.

242561544192 is a gapful number since it is divisible by the number (22) 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 242561544192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401172900480).

242561544192 is an abundant number, since it is smaller than the sum of its proper divisors (559784256768).

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

242561544192 is a wasteful number, since it uses less digits than its factorization.

242561544192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4696 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 242561544192 in words is "two hundred forty-two billion, five hundred sixty-one million, five hundred forty-four thousand, one hundred ninety-two".