48198084480 has 1280 divisors, whose sum is σ = 224679692160. Its totient is φ = 9555148800.

The previous prime is 48198084469. The next prime is 48198084481. The reversal of 48198084480 is 8448089184.

It is a happy number.

48198084480 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 80 + 84 + 480 = 666.

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 (48198084481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80196180 + ... + 80196780.

Almost surely, 2^48198084480 is an apocalyptic number.

48198084480 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 48198084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112339846080).

48198084480 is an abundant number, since it is smaller than the sum of its proper divisors (176481607680).

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

48198084480 is a wasteful number, since it uses less digits than its factorization.

48198084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 48198084480 in words is "forty-eight billion, one hundred ninety-eight million, eighty-four thousand, four hundred eighty".