151815261832416 has 1152 divisors, whose sum is σ = 560657592069120. Its totient is φ = 37892781932544.

The previous prime is 151815261832411. The next prime is 151815261832441. The reversal of 151815261832416 is 614238162518151.

151815261832416 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 1 + 5 + 2 + 618 + 3 + 2 + 4 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151815261832411) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 9043612375 + ... + 9043629161.

It is an arithmetic number, because the mean of its divisors is an integer number (486681937560).

Almost surely, 2^{151815261832416} is an apocalyptic number.

151815261832416 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 151815261832416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280328796034560).

151815261832416 is an abundant number, since it is smaller than the sum of its proper divisors (408842330236704).

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

151815261832416 is a wasteful number, since it uses less digits than its factorization.

151815261832416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17088 (or 17077 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 151815261832416 in words is "one hundred fifty-one trillion, eight hundred fifteen billion, two hundred sixty-one million, eight hundred thirty-two thousand, four hundred sixteen".