48646195963200 has 1344 divisors, whose sum is σ = 202060395878400. Its totient is φ = 11269402214400.

The previous prime is 48646195963199. The next prime is 48646195963241. The reversal of 48646195963200 is 236959164684.

48646195963200 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 6 + 1 + 9 + 596 + 32 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19159587531 + ... + 19159590069.

Almost surely, 2^{48646195963200} is an apocalyptic number.

48646195963200 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 48646195963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101030197939200).

48646195963200 is an abundant number, since it is smaller than the sum of its proper divisors (153414199915200).

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

48646195963200 is a wasteful number, since it uses less digits than its factorization.

48646195963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 48646195963200 in words is "forty-eight trillion, six hundred forty-six billion, one hundred ninety-five million, nine hundred sixty-three thousand, two hundred".