9141016137264 has 640 divisors, whose sum is σ = 29788633405440. Its totient is φ = 2659726540800.

The previous prime is 9141016137263. The next prime is 9141016137283. The reversal of 9141016137264 is 4627316101419.

9141016137264 is a `hidden beast` number, since 9 + 1 + 4 + 1 + 0 + 1 + 613 + 7 + 26 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (9141016137263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3471710092 + ... + 3471712724.

It is an arithmetic number, because the mean of its divisors is an integer number (46544739696).

Almost surely, 2^{9141016137264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9141016137264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894316702720).

9141016137264 is an abundant number, since it is smaller than the sum of its proper divisors (20647617268176).

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

9141016137264 is a wasteful number, since it uses less digits than its factorization.

9141016137264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 9141016137264 in words is "nine trillion, one hundred forty-one billion, sixteen million, one hundred thirty-seven thousand, two hundred sixty-four".