48892800241152 has 560 divisors, whose sum is σ = 169750460132352. Its totient is φ = 13772567531520.

The previous prime is 48892800241111. The next prime is 48892800241157. The reversal of 48892800241152 is 25114200829884.

48892800241152 is a `hidden beast` number, since 48 + 89 + 280 + 0 + 241 + 1 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48892800241157) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 185372473 + ... + 185636039.

Almost surely, 2^{48892800241152} is an apocalyptic number.

48892800241152 is a gapful number since it is divisible by the number (42) 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 48892800241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84875230066176).

48892800241152 is an abundant number, since it is smaller than the sum of its proper divisors (120857659891200).

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

48892800241152 is an frugal number, since it uses more digits than its factorization.

48892800241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263681 (or 263650 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 48892800241152 in words is "forty-eight trillion, eight hundred ninety-two billion, eight hundred million, two hundred forty-one thousand, one hundred fifty-two".