48294897120 has 576 divisors, whose sum is σ = 177675301440. Its totient is φ = 11921817600.

The previous prime is 48294897113. The next prime is 48294897127. The reversal of 48294897120 is 2179849284.

48294897120 is a `hidden beast` number, since 482 + 94 + 8 + 9 + 71 + 2 + 0 = 666.

It is a Cunningham number, because it is equal to 219761²-1.

It is an interprime number because it is at equal distance from previous prime (48294897113) and next prime (48294897127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48294897127) 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 95 ways as a sum of consecutive naturals, for example, 114714510 + ... + 114714930.

It is an arithmetic number, because the mean of its divisors is an integer number (308464065).

Almost surely, 2^48294897120 is an apocalyptic number.

48294897120 is a gapful number since it is divisible by the number (40) 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 48294897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88837650720).

48294897120 is an abundant number, since it is smaller than the sum of its proper divisors (129380404320).

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

48294897120 is a wasteful number, since it uses less digits than its factorization.

48294897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 48294897120 in words is "forty-eight billion, two hundred ninety-four million, eight hundred ninety-seven thousand, one hundred twenty".