1050135062416 has 160 divisors (see below), whose sum is σ = 2355140975616. Its totient is φ = 448911936000.

The previous prime is 1050135062401. The next prime is 1050135062419. The reversal of 1050135062416 is 6142605310501.

It is a super-2 number, since 2×1050135062416² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1050135062419) 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 31 ways as a sum of consecutive naturals, for example, 154860946 + ... + 154867726.

Almost surely, 2^{1050135062416} is an apocalyptic number.

1050135062416 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 1050135062416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177570487808).

1050135062416 is an abundant number, since it is smaller than the sum of its proper divisors (1305005913200).

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

1050135062416 is a wasteful number, since it uses less digits than its factorization.

1050135062416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 1050135062416 in words is "one trillion, fifty billion, one hundred thirty-five million, sixty-two thousand, four hundred sixteen".