48734784000 has 1600 divisors, whose sum is σ = 222452904960. Its totient is φ = 10351411200.

The previous prime is 48734783971. The next prime is 48734784047. The reversal of 48734784000 is 48743784.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 616895961 + ... + 616896039.

Almost surely, 2^48734784000 is an apocalyptic number.

48734784000 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 48734784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111226452480).

48734784000 is an abundant number, since it is smaller than the sum of its proper divisors (173718120960).

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

48734784000 is an equidigital number, since it uses as much as digits as its factorization.

48734784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 48734784000 in words is "forty-eight billion, seven hundred thirty-four million, seven hundred eighty-four thousand".