48342501640800 has 1728 divisors, whose sum is σ = 189654221352960. Its totient is φ = 11550615552000.

The previous prime is 48342501640789. The next prime is 48342501640801. The reversal of 48342501640800 is 804610524384.

48342501640800 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 2 + 501 + 64 + 0 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48342501640801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17004044179 + ... + 17004047021.

It is an arithmetic number, because the mean of its divisors is an integer number (109753600320).

Almost surely, 2^{48342501640800} is an apocalyptic number.

48342501640800 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 48342501640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94827110676480).

48342501640800 is an abundant number, since it is smaller than the sum of its proper divisors (141311719712160).

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

48342501640800 is a wasteful number, since it uses less digits than its factorization.

48342501640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 48342501640800 in words is "forty-eight trillion, three hundred forty-two billion, five hundred one million, six hundred forty thousand, eight hundred".