242398048628736 has 832 divisors, whose sum is σ = 964201302973440. Its totient is φ = 58117387714560.

The previous prime is 242398048628717. The next prime is 242398048628741. The reversal of 242398048628736 is 637826840893242.

242398048628736 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 98 + 0 + 486 + 28 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109607776 + ... + 111797408.

Almost surely, 2^{242398048628736} is an apocalyptic number.

242398048628736 is a gapful number since it is divisible by the number (26) 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 242398048628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482100651486720).

242398048628736 is an abundant number, since it is smaller than the sum of its proper divisors (721803254344704).

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

242398048628736 is a wasteful number, since it uses less digits than its factorization.

242398048628736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189697 (or 2189669 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 242398048628736 in words is "two hundred forty-two trillion, three hundred ninety-eight billion, forty-eight million, six hundred twenty-eight thousand, seven hundred thirty-six".