153336156566416 has 80 divisors (see below), whose sum is σ = 308506153561200. Its totient is φ = 73741898768384.

The previous prime is 153336156566357. The next prime is 153336156566423. The reversal of 153336156566416 is 614665651633351.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2961854768016 + 150374301798400 = 1721004^2 + 12262720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395013476 + ... + 1395123388.

It is an arithmetic number, because the mean of its divisors is an integer number (3856326919515).

Almost surely, 2^{153336156566416} is an apocalyptic number.

153336156566416 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 153336156566416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154253076780600).

153336156566416 is an abundant number, since it is smaller than the sum of its proper divisors (155169996994784).

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

153336156566416 is a wasteful number, since it uses less digits than its factorization.

153336156566416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121396 (or 121390 counting only the distinct ones).

The product of its digits is 104976000, while the sum is 61.

The spelling of 153336156566416 in words is "one hundred fifty-three trillion, three hundred thirty-six billion, one hundred fifty-six million, five hundred sixty-six thousand, four hundred sixteen".