48116174400 has 1008 divisors, whose sum is σ = 212080961664. Its totient is φ = 10094837760.

The previous prime is 48116174399. The next prime is 48116174401. The reversal of 48116174400 is 447161184.

48116174400 is a `hidden beast` number, since 4 + 81 + 1 + 6 + 174 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (48116174399) and next prime (48116174401).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (48116174401) 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 143 ways as a sum of consecutive naturals, for example, 73684474 + ... + 73685126.

Almost surely, 2^48116174400 is an apocalyptic number.

48116174400 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 48116174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106040480832).

48116174400 is an abundant number, since it is smaller than the sum of its proper divisors (163964787264).

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

48116174400 is a wasteful number, since it uses less digits than its factorization.

48116174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 48116174400 in words is "forty-eight billion, one hundred sixteen million, one hundred seventy-four thousand, four hundred".