91448993341440 has 1008 divisors, whose sum is σ = 369102260912112. Its totient is φ = 20883209453568.

The previous prime is 91448993341399. The next prime is 91448993341441. The reversal of 91448993341440 is 4414339984419.

91448993341440 is a `hidden beast` number, since 9 + 1 + 4 + 489 + 9 + 3 + 3 + 4 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91448993341441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30111619602 + ... + 30111622638.

It is an arithmetic number, because the mean of its divisors is an integer number (366172877889).

Almost surely, 2^{91448993341440} is an apocalyptic number.

91448993341440 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 91448993341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184551130456056).

91448993341440 is an abundant number, since it is smaller than the sum of its proper divisors (277653267570672).

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

91448993341440 is a wasteful number, since it uses less digits than its factorization.

91448993341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 91448993341440 in words is "ninety-one trillion, four hundred forty-eight billion, nine hundred ninety-three million, three hundred forty-one thousand, four hundred forty".