1001111006016 has 280 divisors, whose sum is σ = 3245783317920. Its totient is φ = 302580403200.

The previous prime is 1001111006003. The next prime is 1001111006023. The reversal of 1001111006016 is 6106001111001.

1001111006016 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 (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1001111006016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22159771 + ... + 22204901.

Almost surely, 2^{1001111006016} is an apocalyptic number.

1001111006016 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 1001111006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622891658960).

1001111006016 is an abundant number, since it is smaller than the sum of its proper divisors (2244672311904).

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

1001111006016 is a wasteful number, since it uses less digits than its factorization.

1001111006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45555 (or 45536 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1001111006016 its reverse (6106001111001), we get a palindrome (7107112117017).

The spelling of 1001111006016 in words is "one trillion, one billion, one hundred eleven million, six thousand, sixteen".