91671344352 has 480 divisors, whose sum is σ = 324676864512. Its totient is φ = 24806808576.

The previous prime is 91671344351. The next prime is 91671344383. The reversal of 91671344352 is 25344317619.

91671344352 is a `hidden beast` number, since 9 + 167 + 134 + 4 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 91671344298 and 91671344307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91671344351) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44651358 + ... + 44653410.

Almost surely, 2^91671344352 is an apocalyptic number.

91671344352 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91671344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162338432256).

91671344352 is an abundant number, since it is smaller than the sum of its proper divisors (233005520160).

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

91671344352 is a wasteful number, since it uses less digits than its factorization.

91671344352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2195 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 91671344352 in words is "ninety-one billion, six hundred seventy-one million, three hundred forty-four thousand, three hundred fifty-two".