9242953542144 has 640 divisors, whose sum is σ = 32429656512000. Its totient is φ = 2543230255104.

The previous prime is 9242953542143. The next prime is 9242953542167. The reversal of 9242953542144 is 4412453592429.

9242953542144 is a `hidden beast` number, since 9 + 2 + 4 + 2 + 9 + 53 + 542 + 1 + 44 = 666.

It is a super-3 number, since 3×9242953542144³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9242953542143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1147761222 + ... + 1147769274.

It is an arithmetic number, because the mean of its divisors is an integer number (50671338300).

Almost surely, 2^{9242953542144} 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 9242953542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214828256000).

9242953542144 is an abundant number, since it is smaller than the sum of its proper divisors (23186702969856).

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

9242953542144 is a wasteful number, since it uses less digits than its factorization.

9242953542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8525 (or 8503 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 9242953542144 in words is "nine trillion, two hundred forty-two billion, nine hundred fifty-three million, five hundred forty-two thousand, one hundred forty-four".