148385865600 has 1536 divisors, whose sum is σ = 672873600000. Its totient is φ = 31173672960.

The previous prime is 148385865557. The next prime is 148385865601. The reversal of 148385865600 is 6568583841.

148385865600 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 8 + 586 + 56 + 0 + 0 = 666.

It is a super-2 number, since 2×148385865600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148385865601) 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 191 ways as a sum of consecutive naturals, for example, 425174226 + ... + 425174574.

It is an arithmetic number, because the mean of its divisors is an integer number (438068750).

Almost surely, 2^148385865600 is an apocalyptic number.

148385865600 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 148385865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336436800000).

148385865600 is an abundant number, since it is smaller than the sum of its proper divisors (524487734400).

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

148385865600 is a wasteful number, since it uses less digits than its factorization.

148385865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 148385865600 in words is "one hundred forty-eight billion, three hundred eighty-five million, eight hundred sixty-five thousand, six hundred".