48408532360960 has 72 divisors (see below), whose sum is σ = 115955418131280. Its totient is φ = 19363103096832.

The previous prime is 48408532360949. The next prime is 48408532360967. The reversal of 48408532360960 is 6906323580484.

It is a super-2 number, since 2×48408532360960² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48408532360895 and 48408532360904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48408532360967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90317119 + ... + 90851521.

It is an arithmetic number, because the mean of its divisors is an integer number (1610491918490).

Almost surely, 2^{48408532360960} is an apocalyptic number.

48408532360960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48408532360960 is an abundant number, since it is smaller than the sum of its proper divisors (67546885770320).

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

48408532360960 is an equidigital number, since it uses as much as digits as its factorization.

48408532360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605193 (or 605179 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 48408532360960 in words is "forty-eight trillion, four hundred eight billion, five hundred thirty-two million, three hundred sixty thousand, nine hundred sixty".