1006641614431 has 8 divisors (see below), whose sum is σ = 1007394901344. Its totient is φ = 1005888436320.

The previous prime is 1006641614413. The next prime is 1006641614437. The reversal of 1006641614431 is 1344161466001.

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 1006641614431 - 2²⁵ = 1006608059999 is a prime.

It is a super-2 number, since 2×1006641614431² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006641614437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31929966 + ... + 31961476.

It is an arithmetic number, because the mean of its divisors is an integer number (125924362668).

Almost surely, 2^{1006641614431} is an apocalyptic number.

1006641614431 is a deficient number, since it is larger than the sum of its proper divisors (753286913).

1006641614431 is a wasteful number, since it uses less digits than its factorization.

1006641614431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54401.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 1006641614431 in words is "one trillion, six billion, six hundred forty-one million, six hundred fourteen thousand, four hundred thirty-one".