91215385433568 has 432 divisors, whose sum is σ = 286759041660000. Its totient is φ = 27482173931520.

The previous prime is 91215385433567. The next prime is 91215385433591. The reversal of 91215385433568 is 86533458351219.

91215385433568 is a `hidden beast` number, since 9 + 1 + 2 + 1 + 5 + 38 + 5 + 4 + 33 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91215385433567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18246723933 + ... + 18246728931.

Almost surely, 2^{91215385433568} 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 91215385433568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143379520830000).

91215385433568 is an abundant number, since it is smaller than the sum of its proper divisors (195543656226432).

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

91215385433568 is a wasteful number, since it uses less digits than its factorization.

91215385433568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7943 (or 7921 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 91215385433568 in words is "ninety-one trillion, two hundred fifteen billion, three hundred eighty-five million, four hundred thirty-three thousand, five hundred sixty-eight".