1129953262048 has 192 divisors, whose sum is σ = 2581732258560. Its totient is φ = 482136883200.

The previous prime is 1129953262043. The next prime is 1129953262079. The reversal of 1129953262048 is 8402623599211.

It is a happy number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 1129953261986 and 1129953262004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129953262043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448215028 + ... + 448217548.

It is an arithmetic number, because the mean of its divisors is an integer number (13446522180).

Almost surely, 2^{1129953262048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129953262048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290866129280).

1129953262048 is an abundant number, since it is smaller than the sum of its proper divisors (1451778996512).

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

1129953262048 is a wasteful number, since it uses less digits than its factorization.

1129953262048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 1129953262048 in words is "one trillion, one hundred twenty-nine billion, nine hundred fifty-three million, two hundred sixty-two thousand, forty-eight".