48649144320 has 1344 divisors, whose sum is σ = 214840080000. Its totient is φ = 10534551552.

The previous prime is 48649144249. The next prime is 48649144373. The reversal of 48649144320 is 2344194684.

48649144320 is a `hidden beast` number, since 48 + 64 + 91 + 443 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 111 ways as a sum of consecutive naturals, for example, 2560481271 + ... + 2560481289.

It is an arithmetic number, because the mean of its divisors is an integer number (159851250).

Almost surely, 2^48649144320 is an apocalyptic number.

48649144320 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 48649144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107420040000).

48649144320 is an abundant number, since it is smaller than the sum of its proper divisors (166190935680).

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

48649144320 is an frugal number, since it uses more digits than its factorization.

48649144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 48649144320 in words is "forty-eight billion, six hundred forty-nine million, one hundred forty-four thousand, three hundred twenty".