9182801628000 has 4608 divisors, whose sum is σ = 46939962101760. Its totient is φ = 1683763200000.

The previous prime is 9182801627957. The next prime is 9182801628043. The reversal of 9182801628000 is 8261082819.

It is a happy number.

9182801628000 is a `hidden beast` number, since 9 + 18 + 2 + 8 + 0 + 1 + 628 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9182801627957) and next prime (9182801628043).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 90918827950 + ... + 90918828050.

It is an arithmetic number, because the mean of its divisors is an integer number (10186623720).

Almost surely, 2^{9182801628000} is an apocalyptic number.

9182801628000 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 9182801628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469981050880).

9182801628000 is an abundant number, since it is smaller than the sum of its proper divisors (37757160473760).

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

9182801628000 is a wasteful number, since it uses less digits than its factorization.

9182801628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 9182801628000 in words is "nine trillion, one hundred eighty-two billion, eight hundred one million, six hundred twenty-eight thousand".