153434964816 has 240 divisors, whose sum is σ = 525336614400. Its totient is φ = 40827048192.

The previous prime is 153434964779. The next prime is 153434964847. The reversal of 153434964816 is 618469434351.

It is a happy number.

153434964816 is a `hidden beast` number, since 1 + 534 + 3 + 4 + 96 + 4 + 8 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062075 + ... + 1197861.

It is an arithmetic number, because the mean of its divisors is an integer number (2188902560).

Almost surely, 2^153434964816 is an apocalyptic number.

153434964816 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 153434964816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262668307200).

153434964816 is an abundant number, since it is smaller than the sum of its proper divisors (371901649584).

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

153434964816 is a wasteful number, since it uses less digits than its factorization.

153434964816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135886 (or 135877 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 153434964816 in words is "one hundred fifty-three billion, four hundred thirty-four million, nine hundred sixty-four thousand, eight hundred sixteen".