48852349896000 has 448 divisors, whose sum is σ = 185575799844864. Its totient is φ = 11092296960000.

The previous prime is 48852349895989. The next prime is 48852349896043. The reversal of 48852349896000 is 69894325884.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×48852349896000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24405127 + ... + 26330873.

Almost surely, 2^{48852349896000} is an apocalyptic number.

48852349896000 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 48852349896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92787899922432).

48852349896000 is an abundant number, since it is smaller than the sum of its proper divisors (136723449948864).

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

48852349896000 is a wasteful number, since it uses less digits than its factorization.

48852349896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925935 (or 1925915 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 66.

The spelling of 48852349896000 in words is "forty-eight trillion, eight hundred fifty-two billion, three hundred forty-nine million, eight hundred ninety-six thousand".