242838152953704 has 512 divisors, whose sum is σ = 885337620480000. Its totient is φ = 59749943258880.

The previous prime is 242838152953703. The next prime is 242838152953709. The reversal of 242838152953704 is 407359251838242.

242838152953704 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 38 + 1 + 529 + 5 + 3 + 70 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (242838152953703) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4701857209 + ... + 4701908855.

It is an arithmetic number, because the mean of its divisors is an integer number (1729175040000).

Almost surely, 2^{242838152953704} is an apocalyptic number.

242838152953704 is a gapful number since it is divisible by the number (24) 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 242838152953704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442668810240000).

242838152953704 is an abundant number, since it is smaller than the sum of its proper divisors (642499467526296).

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

242838152953704 is a wasteful number, since it uses less digits than its factorization.

242838152953704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66578 (or 66568 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 242838152953704 in words is "two hundred forty-two trillion, eight hundred thirty-eight billion, one hundred fifty-two million, nine hundred fifty-three thousand, seven hundred four".