148334916672 has 252 divisors, whose sum is σ = 442157777100. Its totient is φ = 47542671360.

The previous prime is 148334916671. The next prime is 148334916707. The reversal of 148334916672 is 276619433841.

148334916672 is a `hidden beast` number, since 1 + 4 + 83 + 3 + 491 + 6 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97179333696 + 51155582976 = 311736^2 + 226176^2 .

It is not an unprimeable number, because it can be changed into a prime (148334916671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95760954 + ... + 95762502.

Almost surely, 2^148334916672 is an apocalyptic number.

148334916672 is a gapful number since it is divisible by the number (12) 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 148334916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221078888550).

148334916672 is an abundant number, since it is smaller than the sum of its proper divisors (293822860428).

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

148334916672 is a wasteful number, since it uses less digits than its factorization.

148334916672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1758 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 148334916672 in words is "one hundred forty-eight billion, three hundred thirty-four million, nine hundred sixteen thousand, six hundred seventy-two".