48436940160 has 768 divisors, whose sum is σ = 210038400000. Its totient is φ = 10028924928.

The previous prime is 48436940159. The next prime is 48436940173. The reversal of 48436940160 is 6104963484.

48436940160 is a `hidden beast` number, since 484 + 3 + 6 + 9 + 4 + 0 + 160 = 666.

It is a super-2 number, since 2×48436940160² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17618466 + ... + 17621214.

It is an arithmetic number, because the mean of its divisors is an integer number (273487500).

Almost surely, 2^48436940160 is an apocalyptic number.

48436940160 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 48436940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105019200000).

48436940160 is an abundant number, since it is smaller than the sum of its proper divisors (161601459840).

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

48436940160 is a wasteful number, since it uses less digits than its factorization.

48436940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 48436940160 in words is "forty-eight billion, four hundred thirty-six million, nine hundred forty thousand, one hundred sixty".