242655200368032 has 96 divisors (see below), whose sum is σ = 649021617945792. Its totient is φ = 79354847197184.

The previous prime is 242655200367991. The next prime is 242655200368069. The reversal of 242655200368032 is 230863002556242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98389723 + ... + 100825829.

It is an arithmetic number, because the mean of its divisors is an integer number (6760641853602).

Almost surely, 2^{242655200368032} is an apocalyptic number.

It is an amenable number.

242655200368032 is an abundant number, since it is smaller than the sum of its proper divisors (406366417577760).

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

242655200368032 is a wasteful number, since it uses less digits than its factorization.

242655200368032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455750 (or 2455742 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 242655200368032 in words is "two hundred forty-two trillion, six hundred fifty-five billion, two hundred million, three hundred sixty-eight thousand, thirty-two".