242245014533004 has 144 divisors (see below), whose sum is σ = 659902399220736. Its totient is φ = 68962409712000.

The previous prime is 242245014532979. The next prime is 242245014533033. The reversal of 242245014533004 is 400335410542242.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 849389829 + ... + 849674979.

It is an arithmetic number, because the mean of its divisors is an integer number (4582655550144).

Almost surely, 2^{242245014533004} 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 242245014533004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329951199610368).

242245014533004 is an abundant number, since it is smaller than the sum of its proper divisors (417657384687732).

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

242245014533004 is a wasteful number, since it uses less digits than its factorization.

242245014533004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290396 (or 290387 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 242245014533004 in words is "two hundred forty-two trillion, two hundred forty-five billion, fourteen million, five hundred thirty-three thousand, four".