1000909100016 has 160 divisors (see below), whose sum is σ = 3292817024000. Its totient is φ = 285154318080.

The previous prime is 1000909099999. The next prime is 1000909100017. The reversal of 1000909100016 is 6100019090001.

1000909100016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000909100017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581181 + ... + 1529571.

It is an arithmetic number, because the mean of its divisors is an integer number (20580106400).

Almost surely, 2^{1000909100016} is an apocalyptic number.

1000909100016 is a gapful number since it is divisible by the number (16) 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 1000909100016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646408512000).

1000909100016 is an abundant number, since it is smaller than the sum of its proper divisors (2291907923984).

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

1000909100016 is a wasteful number, since it uses less digits than its factorization.

1000909100016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948764 (or 948752 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 1000909100016 in words is "one trillion, nine hundred nine million, one hundred thousand, sixteen".