153268382624 has 72 divisors (see below), whose sum is σ = 351174045348. Its totient is φ = 65656120320.

The previous prime is 153268382609. The next prime is 153268382633. The reversal of 153268382624 is 426283862351.

153268382624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126152832400 + 27115550224 = 355180^2 + 164668^2 .

It is a super-2 number, since 2×153268382624² (a number of 23 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 11 ways as a sum of consecutive naturals, for example, 3555182 + ... + 3598034.

Almost surely, 2^153268382624 is an apocalyptic number.

153268382624 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 153268382624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175587022674).

153268382624 is an abundant number, since it is smaller than the sum of its proper divisors (197905662724).

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

153268382624 is a wasteful number, since it uses less digits than its factorization.

153268382624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45158 (or 45143 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 50.

The spelling of 153268382624 in words is "one hundred fifty-three billion, two hundred sixty-eight million, three hundred eighty-two thousand, six hundred twenty-four".