6145445958001 has 9 divisors (see below), whose sum is σ = 7148804259801. Its totient is φ = 5267510232852.

The previous prime is 6145445957999. The next prime is 6145445958007. The reversal of 6145445958001 is 1008595445416.

The square root of 6145445958001 is 2479001.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 6145445958001 - 2¹ = 6145445957999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6145445958001.

It is not an unprimeable number, because it can be changed into a prime (6145445958007) 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 8 ways as a sum of consecutive naturals, for example, 17175936 + ... + 17530078.

Almost surely, 2^{6145445958001} is an apocalyptic number.

6145445958001 is the 2479001-st square number.

6145445958001 is the 1239501-st centered octagonal number.

It is an amenable number.

6145445958001 is a deficient number, since it is larger than the sum of its proper divisors (1003358301800).

6145445958001 is an frugal number, since it uses more digits than its factorization.

6145445958001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708300 (or 354150 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 52.

The spelling of 6145445958001 in words is "six trillion, one hundred forty-five billion, four hundred forty-five million, nine hundred fifty-eight thousand, one".