972241816029 has 8 divisors (see below), whose sum is σ = 1414169914272. Its totient is φ = 589237464240.

The previous prime is 972241815953. The next prime is 972241816057. The reversal of 972241816029 is 920618142279.

972241816029 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 972241816029 - 2³⁵ = 937882077661 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972241816729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14730936574 + ... + 14730936639.

It is an arithmetic number, because the mean of its divisors is an integer number (176771239284).

Almost surely, 2^972241816029 is an apocalyptic number.

It is an amenable number.

972241816029 is a deficient number, since it is larger than the sum of its proper divisors (441928098243).

972241816029 is a wasteful number, since it uses less digits than its factorization.

972241816029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29461873227.

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 972241816029 in words is "nine hundred seventy-two billion, two hundred forty-one million, eight hundred sixteen thousand, twenty-nine".