48106408248880 has 80 divisors (see below), whose sum is σ = 114231573889920. Its totient is φ = 18832414555136.

The previous prime is 48106408248869. The next prime is 48106408248919. The reversal of 48106408248880 is 8884280460184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×48106408248880³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102025506 + ... + 102495934.

It is an arithmetic number, because the mean of its divisors is an integer number (1427894673624).

Almost surely, 2^{48106408248880} is an apocalyptic number.

48106408248880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48106408248880 is an abundant number, since it is smaller than the sum of its proper divisors (66125165641040).

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

48106408248880 is a wasteful number, since it uses less digits than its factorization.

48106408248880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497686 (or 497680 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 61.

The spelling of 48106408248880 in words is "forty-eight trillion, one hundred six billion, four hundred eight million, two hundred forty-eight thousand, eight hundred eighty".