48301371360 has 768 divisors, whose sum is σ = 197537356800. Its totient is φ = 10898841600.

The previous prime is 48301371311. The next prime is 48301371361. The reversal of 48301371360 is 6317310384.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48301371361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55075242 + ... + 55076118.

It is an arithmetic number, because the mean of its divisors is an integer number (257210100).

Almost surely, 2^48301371360 is an apocalyptic number.

48301371360 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 48301371360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98768678400).

48301371360 is an abundant number, since it is smaller than the sum of its proper divisors (149235985440).

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

48301371360 is a wasteful number, since it uses less digits than its factorization.

48301371360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 48301371360 in words is "forty-eight billion, three hundred one million, three hundred seventy-one thousand, three hundred sixty".