4901601152448 has 896 divisors, whose sum is σ = 19971752263680. Its totient is φ = 1137286656000.

The previous prime is 4901601152443. The next prime is 4901601152509. The reversal of 4901601152448 is 8442511061094.

4901601152448 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 601 + 15 + 24 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4901601152443) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 53575863 + ... + 53667273.

It is an arithmetic number, because the mean of its divisors is an integer number (22289902080).

Almost surely, 2^{4901601152448} is an apocalyptic number.

4901601152448 is a gapful number since it is divisible by the number (48) 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 4901601152448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9985876131840).

4901601152448 is an abundant number, since it is smaller than the sum of its proper divisors (15070151111232).

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

4901601152448 is a wasteful number, since it uses less digits than its factorization.

4901601152448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91494 (or 91478 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 4901601152448 in words is "four trillion, nine hundred one billion, six hundred one million, one hundred fifty-two thousand, four hundred forty-eight".