148029605223696 has 1500 divisors, whose sum is σ = 536737958569428. Its totient is φ = 39372691341312.

The previous prime is 148029605223593. The next prime is 148029605223707. The reversal of 148029605223696 is 696322506920841.

It is a happy number.

148029605223696 is a `hidden beast` number, since 1 + 4 + 80 + 29 + 6 + 0 + 522 + 3 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42484063280400 + 105545541943296 = 6517980^2 + 10273536^2 .

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

It is an unprimeable number.

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 299 ways as a sum of consecutive naturals, for example, 87230173120 + ... + 87230174816.

Almost surely, 2^{148029605223696} is an apocalyptic number.

148029605223696 is a gapful number since it is divisible by the number (16) 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 148029605223696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268368979284714).

148029605223696 is an abundant number, since it is smaller than the sum of its proper divisors (388708353345732).

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

148029605223696 is an equidigital number, since it uses as much as digits as its factorization.

148029605223696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 148029605223696 in words is "one hundred forty-eight trillion, twenty-nine billion, six hundred five million, two hundred twenty-three thousand, six hundred ninety-six".