48417455224800 has 360 divisors, whose sum is σ = 178317277166952. Its totient is φ = 12783484800000.

The previous prime is 48417455224799. The next prime is 48417455224807. The reversal of 48417455224800 is 842255471484.

48417455224800 is a `hidden beast` number, since 4 + 8 + 4 + 1 + 7 + 4 + 552 + 2 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48417455224807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2845875 + ... + 10243725.

Almost surely, 2^{48417455224800} is an apocalyptic number.

48417455224800 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 48417455224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89158638583476).

48417455224800 is an abundant number, since it is smaller than the sum of its proper divisors (129899821942152).

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

48417455224800 is a wasteful number, since it uses less digits than its factorization.

48417455224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397984 (or 7397962 counting only the distinct ones).

The product of its (nonzero) digits is 11468800, while the sum is 54.

The spelling of 48417455224800 in words is "forty-eight trillion, four hundred seventeen billion, four hundred fifty-five million, two hundred twenty-four thousand, eight hundred".