48363436800 has 432 divisors, whose sum is σ = 202683694080. Its totient is φ = 11054223360.

The previous prime is 48363436787. The next prime is 48363436813. The reversal of 48363436800 is 863436384.

48363436800 is a `hidden beast` number, since 4 + 8 + 3 + 634 + 3 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48363436787) and next prime (48363436813).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189609 + ... + 1229591.

Almost surely, 2^48363436800 is an apocalyptic number.

48363436800 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 48363436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101341847040).

48363436800 is an abundant number, since it is smaller than the sum of its proper divisors (154320257280).

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

48363436800 is a wasteful number, since it uses less digits than its factorization.

48363436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40025 (or 40000 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 48363436800 in words is "forty-eight billion, three hundred sixty-three million, four hundred thirty-six thousand, eight hundred".