1129659408001 has 8 divisors (see below), whose sum is σ = 1135117808640. Its totient is φ = 1124205235248.

The previous prime is 1129659407963. The next prime is 1129659408109. The reversal of 1129659408001 is 1008049569211.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1129659408001 - 2¹⁵ = 1129659375233 is a prime.

It is a super-2 number, since 2×1129659408001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1129659408401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520641 + ... + 1590718.

It is an arithmetic number, because the mean of its divisors is an integer number (141889726080).

Almost surely, 2^{1129659408001} is an apocalyptic number.

It is an amenable number.

1129659408001 is a deficient number, since it is larger than the sum of its proper divisors (5458400639).

1129659408001 is a wasteful number, since it uses less digits than its factorization.

1129659408001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113943.

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 1129659408001 in words is "one trillion, one hundred twenty-nine billion, six hundred fifty-nine million, four hundred eight thousand, one".