48406145760 has 576 divisors, whose sum is σ = 199887367680. Its totient is φ = 10431590400.

The previous prime is 48406145719. The next prime is 48406145761. The reversal of 48406145760 is 6754160484.

48406145760 is a `hidden beast` number, since 4 + 84 + 0 + 61 + 457 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48406145761) 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 95 ways as a sum of consecutive naturals, for example, 12567835 + ... + 12571685.

It is an arithmetic number, because the mean of its divisors is an integer number (347026680).

Almost surely, 2^48406145760 is an apocalyptic number.

48406145760 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 48406145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99943683840).

48406145760 is an abundant number, since it is smaller than the sum of its proper divisors (151481221920).

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

48406145760 is a wasteful number, since it uses less digits than its factorization.

48406145760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3951 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 48406145760 in words is "forty-eight billion, four hundred six million, one hundred forty-five thousand, seven hundred sixty".