48543202184400 has 2400 divisors, whose sum is σ = 229298690016000. Its totient is φ = 9738363801600.

The previous prime is 48543202184387. The next prime is 48543202184419. The reversal of 48543202184400 is 448120234584.

48543202184400 is a `hidden beast` number, since 4 + 8 + 5 + 4 + 3 + 20 + 218 + 4 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3545103954 + ... + 3545117646.

It is an arithmetic number, because the mean of its divisors is an integer number (95541120840).

Almost surely, 2^{48543202184400} is an apocalyptic number.

48543202184400 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 48543202184400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114649345008000).

48543202184400 is an abundant number, since it is smaller than the sum of its proper divisors (180755487831600).

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

48543202184400 is a wasteful number, since it uses less digits than its factorization.

48543202184400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13784 (or 13750 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 48543202184400 in words is "forty-eight trillion, five hundred forty-three billion, two hundred two million, one hundred eighty-four thousand, four hundred".