48406788760484 has 192 divisors, whose sum is σ = 112056618240000. Its totient is φ = 17725529687040.

The previous prime is 48406788760483. The next prime is 48406788760489.

It is a happy number.

48406788760484 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (48406788760483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 721067432 + ... + 721134560.

It is an arithmetic number, because the mean of its divisors is an integer number (583628220000).

Almost surely, 2^{48406788760484} is an apocalyptic number.

48406788760484 is a gapful number since it is divisible by the number (44) 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 48406788760484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56028309120000).

48406788760484 is an abundant number, since it is smaller than the sum of its proper divisors (63649829479516).

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

48406788760484 is a wasteful number, since it uses less digits than its factorization.

48406788760484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68146 (or 68144 counting only the distinct ones).

The product of its (nonzero) digits is 1849688064, while the sum is 74.

The spelling of 48406788760484 in words is "forty-eight trillion, four hundred six billion, seven hundred eighty-eight million, seven hundred sixty thousand, four hundred eighty-four".