91744534041600 has 1584 divisors, whose sum is σ = 356820437030400. Its totient is φ = 20711035699200.

The previous prime is 91744534041599. The next prime is 91744534041613. The reversal of 91744534041600 is 614043544719.

It is a super-3 number, since 3×91744534041600³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 91744534041600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10417224397 + ... + 10417233203.

Almost surely, 2^{91744534041600} 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 91744534041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178410218515200).

91744534041600 is an abundant number, since it is smaller than the sum of its proper divisors (265075902988800).

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

91744534041600 is a wasteful number, since it uses less digits than its factorization.

91744534041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 91744534041600 in words is "ninety-one trillion, seven hundred forty-four billion, five hundred thirty-four million, forty-one thousand, six hundred".