900116817408000 has 832 divisors, whose sum is σ = 3435382964183040. Its totient is φ = 232288100352000.

The previous prime is 900116817407993. The next prime is 900116817408001. The reversal of 900116817408000 is 804718611009.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900116817408001) 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 63 ways as a sum of consecutive naturals, for example, 427493797 + ... + 429594203.

It is an arithmetic number, because the mean of its divisors is an integer number (4129066062720).

Almost surely, 2^{900116817408000} is an apocalyptic number.

900116817408000 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 900116817408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717691482091520).

900116817408000 is an abundant number, since it is smaller than the sum of its proper divisors (2535266146775040).

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

900116817408000 is a wasteful number, since it uses less digits than its factorization.

900116817408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100486 (or 2100448 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 900116817408000 in words is "nine hundred trillion, one hundred sixteen billion, eight hundred seventeen million, four hundred eight thousand".