153216266112 has 768 divisors, whose sum is σ = 579419568000. Its totient is φ = 37710987264.

The previous prime is 153216266081. The next prime is 153216266113. The reversal of 153216266112 is 211662612351.

153216266112 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 16 + 26 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

153216266112 is a modest number, since divided by 266112 gives 153216 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153216266113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265539168 + ... + 265539744.

Almost surely, 2^153216266112 is an apocalyptic number.

153216266112 is a gapful number since it is divisible by the number (12) 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 153216266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289709784000).

153216266112 is an abundant number, since it is smaller than the sum of its proper divisors (426203301888).

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

153216266112 is a wasteful number, since it uses less digits than its factorization.

153216266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 768 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Adding to 153216266112 its reverse (211662612351), we get a palindrome (364878878463).

The spelling of 153216266112 in words is "one hundred fifty-three billion, two hundred sixteen million, two hundred sixty-six thousand, one hundred twelve".