48441137160 has 512 divisors, whose sum is σ = 167541696000. Its totient is φ = 11119460352.

The previous prime is 48441137159. The next prime is 48441137161. The reversal of 48441137160 is 6173114484.

It is an interprime number because it is at equal distance from previous prime (48441137159) and next prime (48441137161).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (48441137161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213396967 + ... + 213397193.

It is an arithmetic number, because the mean of its divisors is an integer number (327229875).

Almost surely, 2^48441137160 is an apocalyptic number.

48441137160 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 48441137160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83770848000).

48441137160 is an abundant number, since it is smaller than the sum of its proper divisors (119100558840).

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

48441137160 is a wasteful number, since it uses less digits than its factorization.

48441137160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 48441137160 in words is "forty-eight billion, four hundred forty-one million, one hundred thirty-seven thousand, one hundred sixty".