1011324845952 has 256 divisors, whose sum is σ = 3077601120000. Its totient is φ = 326748764160.

The previous prime is 1011324845887. The next prime is 1011324845959. The reversal of 1011324845952 is 2595484231101.

1011324845952 is a `hidden beast` number, since 1 + 0 + 1 + 13 + 2 + 48 + 4 + 595 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1011324845898 and 1011324845907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011324845959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19441674 + ... + 19493622.

It is an arithmetic number, because the mean of its divisors is an integer number (12021879375).

Almost surely, 2^{1011324845952} is an apocalyptic number.

1011324845952 is a gapful number since it is divisible by the number (12) 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 1011324845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538800560000).

1011324845952 is an abundant number, since it is smaller than the sum of its proper divisors (2066276274048).

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

1011324845952 is a wasteful number, since it uses less digits than its factorization.

1011324845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52146 (or 52128 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1011324845952 in words is "one trillion, eleven billion, three hundred twenty-four million, eight hundred forty-five thousand, nine hundred fifty-two".