48064208040 has 192 divisors, whose sum is σ = 168255172800. Its totient is φ = 11860079616.

The previous prime is 48064208011. The next prime is 48064208041. The reversal of 48064208040 is 4080246084.

48064208040 is a `hidden beast` number, since 4 + 8 + 0 + 642 + 0 + 8 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×48064208040³ (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48064207986 and 48064208004.

It is not an unprimeable number, because it can be changed into a prime (48064208041) 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 47 ways as a sum of consecutive naturals, for example, 212412 + ... + 375828.

It is an arithmetic number, because the mean of its divisors is an integer number (876329025).

Almost surely, 2^48064208040 is an apocalyptic number.

48064208040 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 48064208040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84127586400).

48064208040 is an abundant number, since it is smaller than the sum of its proper divisors (120190964760).

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

48064208040 is a wasteful number, since it uses less digits than its factorization.

48064208040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163496 (or 163489 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 48064208040 in words is "forty-eight billion, sixty-four million, two hundred eight thousand, forty".