48395172446208 has 1008 divisors, whose sum is σ = 169820778423296. Its totient is φ = 13484225986560.

The previous prime is 48395172446113. The next prime is 48395172446249. The reversal of 48395172446208 is 80264427159384.

48395172446208 is a `hidden beast` number, since 4 + 8 + 39 + 517 + 24 + 4 + 62 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76695994053 + ... + 76695994683.

It is a 1-persistent number, because it is pandigital, but 2⋅48395172446208 = 96790344892416 is not.

Almost surely, 2^{48395172446208} is an apocalyptic number.

48395172446208 is a gapful number since it is divisible by the number (48) 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 48395172446208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84910389211648).

48395172446208 is an abundant number, since it is smaller than the sum of its proper divisors (121425605977088).

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

48395172446208 is an frugal number, since it uses more digits than its factorization.

48395172446208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 48395172446208 in words is "forty-eight trillion, three hundred ninety-five billion, one hundred seventy-two million, four hundred forty-six thousand, two hundred eight".