148163241600 has 1728 divisors, whose sum is σ = 640634543640. Its totient is φ = 32440320000.

The previous prime is 148163241563. The next prime is 148163241601. The reversal of 148163241600 is 6142361841.

148163241600 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 6 + 3 + 2 + 41 + 600 = 666.

148163241600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5043272256 + 143119969344 = 71016^2 + 378312^2 .

It is a super-2 number, since 2×148163241600² (a number of 23 digits) contains 22 as substring.

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 (148163241601) 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 215 ways as a sum of consecutive naturals, for example, 2428905570 + ... + 2428905630.

Almost surely, 2^148163241600 is an apocalyptic number.

148163241600 is a gapful number since it is divisible by the number (10) 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 148163241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320317271820).

148163241600 is an abundant number, since it is smaller than the sum of its proper divisors (492471302040).

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

148163241600 is a wasteful number, since it uses less digits than its factorization.

148163241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 148163241600 in words is "one hundred forty-eight billion, one hundred sixty-three million, two hundred forty-one thousand, six hundred".