9021641960448 has 880 divisors, whose sum is σ = 29676596108544. Its totient is φ = 2713065062400.

The previous prime is 9021641960447. The next prime is 9021641960491. The reversal of 9021641960448 is 8440691461209.

9021641960448 is a `hidden beast` number, since 9 + 0 + 2 + 1 + 6 + 4 + 196 + 0 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9021641960394 and 9021641960403.

It is not an unprimeable number, because it can be changed into a prime (9021641960447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10908877411 + ... + 10908878237.

Almost surely, 2^{9021641960448} 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 9021641960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838298054272).

9021641960448 is an abundant number, since it is smaller than the sum of its proper divisors (20654954148096).

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

9021641960448 is a wasteful number, since it uses less digits than its factorization.

9021641960448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 9021641960448 in words is "nine trillion, twenty-one billion, six hundred forty-one million, nine hundred sixty thousand, four hundred forty-eight".