9754822224000 has 2560 divisors, whose sum is σ = 46162239552000. Its totient is φ = 1987470950400.

The previous prime is 9754822223969. The next prime is 9754822224053. The reversal of 9754822224000 is 4222284579.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2930254336 + ... + 2930257664.

It is an arithmetic number, because the mean of its divisors is an integer number (18032124825).

Almost surely, 2^{9754822224000} is an apocalyptic number.

9754822224000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9754822224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23081119776000).

9754822224000 is an abundant number, since it is smaller than the sum of its proper divisors (36407417328000).

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

9754822224000 is a wasteful number, since it uses less digits than its factorization.

9754822224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 9754822224000 in words is "nine trillion, seven hundred fifty-four billion, eight hundred twenty-two million, two hundred twenty-four thousand".