1003611949056 has 240 divisors, whose sum is σ = 3001629430800. Its totient is φ = 334100422656.

The previous prime is 1003611949037. The next prime is 1003611949057. The reversal of 1003611949056 is 6509491163001.

1003611949056 is a `hidden beast` number, since 10 + 0 + 36 + 119 + 490 + 5 + 6 = 666.

It is a super-3 number, since 3×1003611949056³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1003611949057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 142494271 + ... + 142501313.

It is an arithmetic number, because the mean of its divisors is an integer number (12506789295).

Almost surely, 2^{1003611949056} is an apocalyptic number.

1003611949056 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 1003611949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500814715400).

1003611949056 is an abundant number, since it is smaller than the sum of its proper divisors (1998017481744).

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

1003611949056 is an frugal number, since it uses more digits than its factorization.

1003611949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7936 (or 7907 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1003611949056 in words is "one trillion, three billion, six hundred eleven million, nine hundred forty-nine thousand, fifty-six".