91814954701680 has 880 divisors, whose sum is σ = 371109770740224. Its totient is φ = 20690164938240.

The previous prime is 91814954701571. The next prime is 91814954701741. The reversal of 91814954701680 is 8610745941819.

91814954701680 is a `hidden beast` number, since 9 + 1 + 8 + 1 + 4 + 9 + 547 + 0 + 1 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 2347768687 + ... + 2347807793.

Almost surely, 2^{91814954701680} is an apocalyptic number.

91814954701680 is a gapful number since it is divisible by the number (90) 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 91814954701680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185554885370112).

91814954701680 is an abundant number, since it is smaller than the sum of its proper divisors (279294816038544).

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

91814954701680 is an equidigital number, since it uses as much as digits as its factorization.

91814954701680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39228 (or 39195 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 91814954701680 in words is "ninety-one trillion, eight hundred fourteen billion, nine hundred fifty-four million, seven hundred one thousand, six hundred eighty".