48164361840 has 240 divisors, whose sum is σ = 188633016000. Its totient is φ = 11008940544.

The previous prime is 48164361829. The next prime is 48164361841. The reversal of 48164361840 is 4816346184.

48164361840 is a `hidden beast` number, since 481 + 64 + 36 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (48164361841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149446 + ... + 344474.

It is an arithmetic number, because the mean of its divisors is an integer number (785970900).

Almost surely, 2^48164361840 is an apocalyptic number.

48164361840 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 48164361840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94316508000).

48164361840 is an abundant number, since it is smaller than the sum of its proper divisors (140468654160).

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

48164361840 is a wasteful number, since it uses less digits than its factorization.

48164361840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195069 (or 195046 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 48164361840 in words is "forty-eight billion, one hundred sixty-four million, three hundred sixty-one thousand, eight hundred forty".