1948791947001 has 16 divisors (see below), whose sum is σ = 2600184913920. Its totient is φ = 1298296993680.

The previous prime is 1948791946991. The next prime is 1948791947083. The reversal of 1948791947001 is 1007491978491.

It is a happy number.

It is not a de Polignac number, because 1948791947001 - 2¹⁵ = 1948791914233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1948791907001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56399136 + ... + 56433678.

It is an arithmetic number, because the mean of its divisors is an integer number (162511557120).

Almost surely, 2^{1948791947001} is an apocalyptic number.

It is an amenable number.

1948791947001 is a deficient number, since it is larger than the sum of its proper divisors (651392966919).

1948791947001 is a wasteful number, since it uses less digits than its factorization.

1948791947001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46996.

The product of its (nonzero) digits is 4572288, while the sum is 60.

The spelling of 1948791947001 in words is "one trillion, nine hundred forty-eight billion, seven hundred ninety-one million, nine hundred forty-seven thousand, one".