91899452746080 has 768 divisors, whose sum is σ = 384654116044800. Its totient is φ = 20049509007360.

The previous prime is 91899452746063. The next prime is 91899452746081. The reversal of 91899452746080 is 8064725499819.

91899452746080 is a `hidden beast` number, since 9 + 1 + 8 + 9 + 9 + 4 + 5 + 2 + 7 + 4 + 608 + 0 = 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 (91899452746081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67761666 + ... + 69104574.

It is an arithmetic number, because the mean of its divisors is an integer number (500851713600).

Almost surely, 2^{91899452746080} is an apocalyptic number.

91899452746080 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 91899452746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192327058022400).

91899452746080 is an abundant number, since it is smaller than the sum of its proper divisors (292754663298720).

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

91899452746080 is a wasteful number, since it uses less digits than its factorization.

91899452746080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343044 (or 1343030 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 91899452746080 in words is "ninety-one trillion, eight hundred ninety-nine billion, four hundred fifty-two million, seven hundred forty-six thousand, eighty".