91428478848000 has 2112 divisors, whose sum is σ = 387367598592000. Its totient is φ = 20303482060800.

The previous prime is 91428478847989. The next prime is 91428478848097. The reversal of 91428478848000 is 84887482419.

91428478848000 is a `hidden beast` number, since 9 + 1 + 4 + 2 + 8 + 478 + 84 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56472191191 + ... + 56472192809.

Almost surely, 2^{91428478848000} is an apocalyptic number.

91428478848000 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 91428478848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193683799296000).

91428478848000 is an abundant number, since it is smaller than the sum of its proper divisors (295939119744000).

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

91428478848000 is a wasteful number, since it uses less digits than its factorization.

91428478848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 91428478848000 in words is "ninety-one trillion, four hundred twenty-eight billion, four hundred seventy-eight million, eight hundred forty-eight thousand".