9151241366016 has 1280 divisors, whose sum is σ = 31395133440000. Its totient is φ = 2614352412672.

The previous prime is 9151241366009. The next prime is 9151241366017. The reversal of 9151241366016 is 6106631421519.

9151241366016 is a `hidden beast` number, since 9 + 1 + 5 + 1 + 2 + 4 + 1 + 36 + 601 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (9151241366017) 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 127 ways as a sum of consecutive naturals, for example, 12383276175 + ... + 12383276913.

It is an arithmetic number, because the mean of its divisors is an integer number (24527448000).

Almost surely, 2^{9151241366016} is an apocalyptic number.

9151241366016 is a gapful number since it is divisible by the number (96) 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 9151241366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697566720000).

9151241366016 is an abundant number, since it is smaller than the sum of its proper divisors (22243892073984).

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

9151241366016 is a wasteful number, since it uses less digits than its factorization.

9151241366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 9151241366016 in words is "nine trillion, one hundred fifty-one billion, two hundred forty-one million, three hundred sixty-six thousand, sixteen".