48018906000 has 600 divisors, whose sum is σ = 188035199352. Its totient is φ = 11741760000.

The previous prime is 48018905951. The next prime is 48018906007. The reversal of 48018906000 is 60981084.

It is a happy number.

48018906000 is a `hidden beast` number, since 48 + 0 + 1 + 8 + 9 + 0 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7564824576 + 40454081424 = 86976^2 + 201132^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48018906007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 318005925 + ... + 318006075.

Almost surely, 2^48018906000 is an apocalyptic number.

48018906000 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 48018906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94017599676).

48018906000 is an abundant number, since it is smaller than the sum of its proper divisors (140016293352).

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

48018906000 is a wasteful number, since it uses less digits than its factorization.

48018906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 48018906000 in words is "forty-eight billion, eighteen million, nine hundred six thousand".