9292242629124 has 405 divisors, whose sum is σ = 30615089320431. Its totient is φ = 2449384479360.

The previous prime is 9292242629069. The next prime is 9292242629129. The reversal of 9292242629124 is 4219262422929.

The square root of 9292242629124 is 3048318.

It is a perfect power (a square), and thus also a powerful number.

9292242629124 is a `hidden beast` number, since 9 + 2 + 9 + 2 + 2 + 4 + 2 + 629 + 1 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7694465732100 + 1597776897024 = 2773890^2 + 1264032^2 .

It is a super-3 number, since 3×9292242629124³ (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 a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9292242629129) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4993143954 + ... + 4993145814.

Almost surely, 2^{9292242629124} is an apocalyptic number.

9292242629124 is the 3048318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9292242629124

9292242629124 is an abundant number, since it is smaller than the sum of its proper divisors (21322846691307).

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

9292242629124 is a wasteful number, since it uses less digits than its factorization.

9292242629124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 1886 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 9292242629124 in words is "nine trillion, two hundred ninety-two billion, two hundred forty-two million, six hundred twenty-nine thousand, one hundred twenty-four".