48417392716704 has 576 divisors, whose sum is σ = 160614170196480. Its totient is φ = 13672342978560.

The previous prime is 48417392716661. The next prime is 48417392716727. The reversal of 48417392716704 is 40761729371484.

It is a happy number.

48417392716704 is a `hidden beast` number, since 4 + 8 + 417 + 3 + 92 + 71 + 67 + 0 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12990980889 + ... + 12990984615.

It is an arithmetic number, because the mean of its divisors is an integer number (278844045480).

Almost surely, 2^{48417392716704} is an apocalyptic number.

48417392716704 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 48417392716704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80307085098240).

48417392716704 is an abundant number, since it is smaller than the sum of its proper divisors (112196777479776).

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

48417392716704 is a wasteful number, since it uses less digits than its factorization.

48417392716704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 48417392716704 in words is "forty-eight trillion, four hundred seventeen billion, three hundred ninety-two million, seven hundred sixteen thousand, seven hundred four".