152214412416 has 512 divisors, whose sum is σ = 483270451200. Its totient is φ = 41936486400.

The previous prime is 152214412379. The next prime is 152214412417. The reversal of 152214412416 is 614214412251.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (152214412417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480171490 + ... + 480171806.

It is an arithmetic number, because the mean of its divisors is an integer number (943887600).

Almost surely, 2^152214412416 is an apocalyptic number.

152214412416 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 152214412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241635225600).

152214412416 is an abundant number, since it is smaller than the sum of its proper divisors (331056038784).

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

152214412416 is a wasteful number, since it uses less digits than its factorization.

152214412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 576 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

Adding to 152214412416 its reverse (614214412251), we get a palindrome (766428824667).

The spelling of 152214412416 in words is "one hundred fifty-two billion, two hundred fourteen million, four hundred twelve thousand, four hundred sixteen".