91554746326848 has 3360 divisors, whose sum is σ = 356132128049280. Its totient is φ = 23082372956160.

The previous prime is 91554746326847. The next prime is 91554746326867. The reversal of 91554746326848 is 84862364745519.

91554746326848 is a `hidden beast` number, since 9 + 1 + 5 + 547 + 4 + 6 + 32 + 6 + 8 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91554746326847) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 668282819836 + ... + 668282819972.

Almost surely, 2^{91554746326848} is an apocalyptic number.

91554746326848 is a gapful number since it is divisible by the number (98) 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 91554746326848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178066064024640).

91554746326848 is an abundant number, since it is smaller than the sum of its proper divisors (264577381722432).

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

91554746326848 is a wasteful number, since it uses less digits than its factorization.

91554746326848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 329 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 91554746326848 in words is "ninety-one trillion, five hundred fifty-four billion, seven hundred forty-six million, three hundred twenty-six thousand, eight hundred forty-eight".