9101261288448 has 704 divisors, whose sum is σ = 31208290813440. Its totient is φ = 2566442188800.

The previous prime is 9101261288423. The next prime is 9101261288461. The reversal of 9101261288448 is 8448821621019.

9101261288448 is a `hidden beast` number, since 9 + 1 + 0 + 12 + 612 + 8 + 8 + 4 + 4 + 8 = 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 = 9101261288394 and 9101261288403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6145347868 + ... + 6145349348.

Almost surely, 2^{9101261288448} 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 9101261288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604145406720).

9101261288448 is an abundant number, since it is smaller than the sum of its proper divisors (22107029524992).

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

9101261288448 is a wasteful number, since it uses less digits than its factorization.

9101261288448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 9101261288448 in words is "nine trillion, one hundred one billion, two hundred sixty-one million, two hundred eighty-eight thousand, four hundred forty-eight".