48777168384 has 640 divisors, whose sum is σ = 171798528000. Its totient is φ = 13826598912.

The previous prime is 48777168359. The next prime is 48777168403. The reversal of 48777168384 is 48386177784.

48777168384 is a `hidden beast` number, since 487 + 7 + 71 + 6 + 8 + 3 + 84 = 666.

It is a super-2 number, since 2×48777168384² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384072129 + ... + 384072255.

It is an arithmetic number, because the mean of its divisors is an integer number (268435200).

Almost surely, 2^48777168384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48777168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85899264000).

48777168384 is an abundant number, since it is smaller than the sum of its proper divisors (123021359616).

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

48777168384 is an frugal number, since it uses more digits than its factorization.

48777168384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 139 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 63.

The spelling of 48777168384 in words is "forty-eight billion, seven hundred seventy-seven million, one hundred sixty-eight thousand, three hundred eighty-four".