48237621128480 has 144 divisors (see below), whose sum is σ = 133299739545336. Its totient is φ = 16447238922240.

The previous prime is 48237621128479. The next prime is 48237621128503. The reversal of 48237621128480 is 8482112673284.

48237621128480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37901113206544 + 10336507921936 = 6156388^2 + 3215044^2 .

It is a super-3 number, since 3×48237621128480³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15577529 + ... + 18415608.

Almost surely, 2^{48237621128480} is an apocalyptic number.

48237621128480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48237621128480 is an abundant number, since it is smaller than the sum of its proper divisors (85062118416856).

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

48237621128480 is a wasteful number, since it uses less digits than its factorization.

48237621128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33993347 (or 33993332 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 56.

The spelling of 48237621128480 in words is "forty-eight trillion, two hundred thirty-seven billion, six hundred twenty-one million, one hundred twenty-eight thousand, four hundred eighty".