1145903950009 has 96 divisors (see below), whose sum is σ = 1510967727360. Its totient is φ = 846031785984.

The previous prime is 1145903949991. The next prime is 1145903950049. The reversal of 1145903950009 is 9000593095411.

It is a happy number.

It is not a de Polignac number, because 1145903950009 - 2¹³ = 1145903941817 is a prime.

It is a super-2 number, since 2×1145903950009² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145903950049) 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 95 ways as a sum of consecutive naturals, for example, 985299462 + ... + 985300624.

It is an arithmetic number, because the mean of its divisors is an integer number (15739247160).

Almost surely, 2^{1145903950009} is an apocalyptic number.

1145903950009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1145903950009 is a deficient number, since it is larger than the sum of its proper divisors (365063777351).

1145903950009 is a wasteful number, since it uses less digits than its factorization.

1145903950009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 46.

The spelling of 1145903950009 in words is "one trillion, one hundred forty-five billion, nine hundred three million, nine hundred fifty thousand, nine".