48363949670400 has 3600 divisors, whose sum is σ = 224327638195584. Its totient is φ = 10029084180480.

The previous prime is 48363949670371. The next prime is 48363949670423. The reversal of 48363949670400 is 407694936384.

48363949670400 is a `hidden beast` number, since 4 + 8 + 3 + 6 + 39 + 496 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 250590412704 + ... + 250590412896.

Almost surely, 2^{48363949670400} is an apocalyptic number.

48363949670400 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 48363949670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112163819097792).

48363949670400 is an abundant number, since it is smaller than the sum of its proper divisors (175963688525184).

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

48363949670400 is a wasteful number, since it uses less digits than its factorization.

48363949670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 48363949670400 in words is "forty-eight trillion, three hundred sixty-three billion, nine hundred forty-nine million, six hundred seventy thousand, four hundred".