148800874363008 has 256 divisors, whose sum is σ = 456318582220800. Its totient is φ = 42081830977536.

The previous prime is 148800874362941. The next prime is 148800874363033. The reversal of 148800874363008 is 800363478008841.

It is a happy number.

It is a super-2 number, since 2×148800874363008² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 589317235 + ... + 589569677.

It is an arithmetic number, because the mean of its divisors is an integer number (1782494461800).

Almost surely, 2^{148800874363008} 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 148800874363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228159291110400).

148800874363008 is an abundant number, since it is smaller than the sum of its proper divisors (307517707857792).

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

148800874363008 is a wasteful number, since it uses less digits than its factorization.

148800874363008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254699 (or 254687 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 148800874363008 in words is "one hundred forty-eight trillion, eight hundred billion, eight hundred seventy-four million, three hundred sixty-three thousand, eight".