48437341999200 has 1152 divisors, whose sum is σ = 225454050017280. Its totient is φ = 9740217600000.

The previous prime is 48437341999183. The next prime is 48437341999219. The reversal of 48437341999200 is 299914373484.

48437341999200 is a `hidden beast` number, since 4 + 8 + 4 + 3 + 7 + 3 + 419 + 9 + 9 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51089475 + ... + 52028925.

It is an arithmetic number, because the mean of its divisors is an integer number (195706640640).

Almost surely, 2^{48437341999200} is an apocalyptic number.

48437341999200 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 48437341999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112727025008640).

48437341999200 is an abundant number, since it is smaller than the sum of its proper divisors (177016708018080).

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

48437341999200 is a wasteful number, since it uses less digits than its factorization.

48437341999200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939529 (or 939510 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 48437341999200 in words is "forty-eight trillion, four hundred thirty-seven billion, three hundred forty-one million, nine hundred ninety-nine thousand, two hundred".