242612416152 has 48 divisors (see below), whose sum is σ = 659188136880. Its totient is φ = 80610763200.

The previous prime is 242612416141. The next prime is 242612416157. The reversal of 242612416152 is 251614216242.

242612416152 is a `hidden beast` number, since 2 + 4 + 26 + 12 + 4 + 1 + 615 + 2 = 666.

It is a super-2 number, since 2×242612416152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242612416157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5394999 + ... + 5439782.

It is an arithmetic number, because the mean of its divisors is an integer number (13733086185).

Almost surely, 2^242612416152 is an apocalyptic number.

It is an amenable number.

242612416152 is an abundant number, since it is smaller than the sum of its proper divisors (416575720728).

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

242612416152 is a wasteful number, since it uses less digits than its factorization.

242612416152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10835104 (or 10835097 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 242612416152 in words is "two hundred forty-two billion, six hundred twelve million, four hundred sixteen thousand, one hundred fifty-two".