1129152581676 has 384 divisors, whose sum is σ = 3472662896640. Its totient is φ = 310646658816.

The previous prime is 1129152581659. The next prime is 1129152581677. The reversal of 1129152581676 is 6761852519211.

1129152581676 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 1 + 52 + 581 + 6 + 7 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1129152581677) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 542078931 + ... + 542081013.

It is an arithmetic number, because the mean of its divisors is an integer number (9043392960).

Almost surely, 2^{1129152581676} 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 1129152581676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736331448320).

1129152581676 is an abundant number, since it is smaller than the sum of its proper divisors (2343510314964).

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

1129152581676 is a wasteful number, since it uses less digits than its factorization.

1129152581676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2394 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 1129152581676 in words is "one trillion, one hundred twenty-nine billion, one hundred fifty-two million, five hundred eighty-one thousand, six hundred seventy-six".