148853612544 has 448 divisors, whose sum is σ = 494100794880. Its totient is φ = 38810419200.

The previous prime is 148853612527. The next prime is 148853612549. The reversal of 148853612544 is 445216358841.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148853612549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225877687 + ... + 225878345.

It is an arithmetic number, because the mean of its divisors is an integer number (1102903560).

Almost surely, 2^148853612544 is an apocalyptic number.

148853612544 is a gapful number since it is divisible by the number (14) 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 148853612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247050397440).

148853612544 is an abundant number, since it is smaller than the sum of its proper divisors (345247182336).

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

148853612544 is a wasteful number, since it uses less digits than its factorization.

148853612544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 785 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The spelling of 148853612544 in words is "one hundred forty-eight billion, eight hundred fifty-three million, six hundred twelve thousand, five hundred forty-four".