91083742985664 has 784 divisors, whose sum is σ = 319244867020800. Its totient is φ = 25407864760320.

The previous prime is 91083742985617. The next prime is 91083742985699. The reversal of 91083742985664 is 46658924738019.

91083742985664 is a `hidden beast` number, since 9 + 1 + 0 + 8 + 37 + 4 + 29 + 8 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 91083742985592 and 91083742985601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2448534937 + ... + 2448572135.

It is a 1-persistent number, because it is pandigital, but 2⋅91083742985664 = 182167485971328 is not.

Almost surely, 2^{91083742985664} 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 91083742985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159622433510400).

91083742985664 is an abundant number, since it is smaller than the sum of its proper divisors (228161124035136).

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

91083742985664 is a wasteful number, since it uses less digits than its factorization.

91083742985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37620 (or 37595 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 91083742985664 in words is "ninety-one trillion, eighty-three billion, seven hundred forty-two million, nine hundred eighty-five thousand, six hundred sixty-four".