153368296704 has 864 divisors, whose sum is σ = 573955200000. Its totient is φ = 38332071936.

The previous prime is 153368296673. The next prime is 153368296727. The reversal of 153368296704 is 407692863351.

153368296704 is a `hidden beast` number, since 15 + 336 + 8 + 296 + 7 + 0 + 4 = 666.

153368296704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 307351047 + ... + 307351545.

It is an arithmetic number, because the mean of its divisors is an integer number (664300000).

It is a 1-persistent number, because it is pandigital, but 2⋅153368296704 = 306736593408 is not.

Almost surely, 2^153368296704 is an apocalyptic number.

153368296704 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 153368296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286977600000).

153368296704 is an abundant number, since it is smaller than the sum of its proper divisors (420586903296).

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

153368296704 is a wasteful number, since it uses less digits than its factorization.

153368296704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 153368296704 in words is "one hundred fifty-three billion, three hundred sixty-eight million, two hundred ninety-six thousand, seven hundred four".