972111226746 has 64 divisors (see below), whose sum is σ = 2249374250880. Its totient is φ = 276801423360.

The previous prime is 972111226741. The next prime is 972111226769. The reversal of 972111226746 is 647622111279.

972111226746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×972111226746² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 972111226695 and 972111226704.

It is not an unprimeable number, because it can be changed into a prime (972111226741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9841 + ... + 1394388.

It is an arithmetic number, because the mean of its divisors is an integer number (35146472670).

Almost surely, 2^972111226746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972111226746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124687125440).

972111226746 is an abundant number, since it is smaller than the sum of its proper divisors (1277263024134).

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

972111226746 is a wasteful number, since it uses less digits than its factorization.

972111226746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404879.

The product of its digits is 508032, while the sum is 48.

The spelling of 972111226746 in words is "nine hundred seventy-two billion, one hundred eleven million, two hundred twenty-six thousand, seven hundred forty-six".