48714364800 has 288 divisors, whose sum is σ = 176776353000. Its totient is φ = 12769873920.

The previous prime is 48714364789. The next prime is 48714364847. The reversal of 48714364800 is 846341784.

48714364800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1684866 + ... + 1713534.

Almost surely, 2^48714364800 is an apocalyptic number.

48714364800 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 48714364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88388176500).

48714364800 is an abundant number, since it is smaller than the sum of its proper divisors (128061988200).

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

48714364800 is a wasteful number, since it uses less digits than its factorization.

48714364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28758 (or 28738 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 48714364800 in words is "forty-eight billion, seven hundred fourteen million, three hundred sixty-four thousand, eight hundred".