48000016000001 has 48 divisors (see below), whose sum is σ = 55909233284688. Its totient is φ = 40935489177600.

The previous prime is 48000015999979. The next prime is 48000016000049. The reversal of 48000016000001 is 10000061000084.

It can be written as a sum of positive squares in 8 ways, for example, as 24434583628225 + 23565432371776 = 4943135^2 + 4854424^2 .

It is a de Polignac number, because none of the positive numbers 2^k-48000016000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48000016000801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491951261 + ... + 492048821.

It is an arithmetic number, because the mean of its divisors is an integer number (1164775693431).

Almost surely, 2^{48000016000001} is an apocalyptic number.

48000016000001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

48000016000001 is the 4000001-st octagonal number.

It is an amenable number.

48000016000001 is a deficient number, since it is larger than the sum of its proper divisors (7909217284687).

48000016000001 is a wasteful number, since it uses less digits than its factorization.

48000016000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100210 (or 100191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 48000016000001 its reverse (10000061000084), we get a palindrome (58000077000085).

The spelling of 48000016000001 in words is "forty-eight trillion, sixteen million, one", and thus it is an aban number and an uban number.