9451838043648 has 3840 divisors, whose sum is σ = 41181364224000. Its totient is φ = 2048385024000.

The previous prime is 9451838043563. The next prime is 9451838043671. The reversal of 9451838043648 is 8463408381549.

9451838043648 is a `hidden beast` number, since 9 + 4 + 5 + 1 + 83 + 80 + 436 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 133124479453 + ... + 133124479523.

It is an arithmetic number, because the mean of its divisors is an integer number (10724313600).

Almost surely, 2^{9451838043648} is an apocalyptic number.

9451838043648 is a gapful number since it is divisible by the number (98) 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 9451838043648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20590682112000).

9451838043648 is an abundant number, since it is smaller than the sum of its proper divisors (31729526180352).

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

9451838043648 is a wasteful number, since it uses less digits than its factorization.

9451838043648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 9451838043648 in words is "nine trillion, four hundred fifty-one billion, eight hundred thirty-eight million, forty-three thousand, six hundred forty-eight".