91209846534144 has 416 divisors, whose sum is σ = 265263320677824. Its totient is φ = 27706565591040.

The previous prime is 91209846534137. The next prime is 91209846534161. The reversal of 91209846534144 is 44143564890219.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×91209846534144² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4639115674 + ... + 4639135334.

Almost surely, 2^{91209846534144} 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 91209846534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132631660338912).

91209846534144 is an abundant number, since it is smaller than the sum of its proper divisors (174053474143680).

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

91209846534144 is a wasteful number, since it uses less digits than its factorization.

91209846534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20071 (or 20049 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 91209846534144 in words is "ninety-one trillion, two hundred nine billion, eight hundred forty-six million, five hundred thirty-four thousand, one hundred forty-four".