91514126376960 has 896 divisors, whose sum is σ = 348129680371200. Its totient is φ = 20083648757760.

The previous prime is 91514126376863. The next prime is 91514126376979. The reversal of 91514126376960 is 6967362141519.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 91514126376894 and 91514126376903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4514969706 + ... + 4514989974.

It is an arithmetic number, because the mean of its divisors is an integer number (388537589700).

Almost surely, 2^{91514126376960} 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 91514126376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174064840185600).

91514126376960 is an abundant number, since it is smaller than the sum of its proper divisors (256615553994240).

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

91514126376960 is a wasteful number, since it uses less digits than its factorization.

91514126376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20520 (or 20496 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 60.

The spelling of 91514126376960 in words is "ninety-one trillion, five hundred fourteen billion, one hundred twenty-six million, three hundred seventy-six thousand, nine hundred sixty".