972261920448 has 672 divisors, whose sum is σ = 3545268959232. Its totient is φ = 247919616000.

The previous prime is 972261920423. The next prime is 972261920501. The reversal of 972261920448 is 844029162279.

It is a happy number.

972261920448 is a `hidden beast` number, since 9 + 7 + 2 + 2 + 6 + 192 + 0 + 448 = 666.

972261920448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 972261920394 and 972261920403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227640553 + ... + 227644823.

It is an arithmetic number, because the mean of its divisors is an integer number (5275697856).

Almost surely, 2^972261920448 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 972261920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772634479616).

972261920448 is an abundant number, since it is smaller than the sum of its proper divisors (2573007038784).

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

972261920448 is a wasteful number, since it uses less digits than its factorization.

972261920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 972261920448 in words is "nine hundred seventy-two billion, two hundred sixty-one million, nine hundred twenty thousand, four hundred forty-eight".