48297456144 has 640 divisors, whose sum is σ = 178188595200. Its totient is φ = 12192768000.

The previous prime is 48297456139. The next prime is 48297456169. The reversal of 48297456144 is 44165479284.

48297456144 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 74 + 561 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192420019 + ... + 192420269.

It is an arithmetic number, because the mean of its divisors is an integer number (278419680).

Almost surely, 2^48297456144 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 48297456144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89094297600).

48297456144 is an abundant number, since it is smaller than the sum of its proper divisors (129891139056).

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

48297456144 is a wasteful number, since it uses less digits than its factorization.

48297456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 48297456144 in words is "forty-eight billion, two hundred ninety-seven million, four hundred fifty-six thousand, one hundred forty-four".