48894013800 has 480 divisors, whose sum is σ = 174374687520. Its totient is φ = 12693542400.

The previous prime is 48894013771. The next prime is 48894013807. The reversal of 48894013800 is 831049884.

48894013800 is a `hidden beast` number, since 488 + 94 + 0 + 1 + 3 + 80 + 0 = 666.

48894013800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (48894013807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116137590 + ... + 116138010.

It is an arithmetic number, because the mean of its divisors is an integer number (363280599).

Almost surely, 2^48894013800 is an apocalyptic number.

48894013800 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 48894013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87187343760).

48894013800 is an abundant number, since it is smaller than the sum of its proper divisors (125480673720).

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

48894013800 is a wasteful number, since it uses less digits than its factorization.

48894013800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 48894013800 in words is "forty-eight billion, eight hundred ninety-four million, thirteen thousand, eight hundred".