4648171392000 has 880 divisors, whose sum is σ = 17443267807680. Its totient is φ = 1230888960000.

The previous prime is 4648171391999. The next prime is 4648171392097. The reversal of 4648171392000 is 2931718464.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1565566516 + ... + 1565569484.

It is an arithmetic number, because the mean of its divisors is an integer number (19821895236).

Almost surely, 2^{4648171392000} is an apocalyptic number.

4648171392000 is a gapful number since it is divisible by the number (40) 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 4648171392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721633903840).

4648171392000 is an abundant number, since it is smaller than the sum of its proper divisors (12795096415680).

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

4648171392000 is a wasteful number, since it uses less digits than its factorization.

4648171392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4648171392000 in words is "four trillion, six hundred forty-eight billion, one hundred seventy-one million, three hundred ninety-two thousand".