2792477314001 has 8 divisors (see below), whose sum is σ = 2793584533224. Its totient is φ = 2791370292480.

The previous prime is 2792477313991. The next prime is 2792477314007. The reversal of 2792477314001 is 1004137742972.

It can be written as a sum of positive squares in 4 ways, for example, as 20914944400 + 2771562369601 = 144620^2 + 1664801^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2792477314001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2792477314007) 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, 32272271 + ... + 32358683.

It is an arithmetic number, because the mean of its divisors is an integer number (349198066653).

Almost surely, 2^{2792477314001} is an apocalyptic number.

It is an amenable number.

2792477314001 is a deficient number, since it is larger than the sum of its proper divisors (1107219223).

2792477314001 is an equidigital number, since it uses as much as digits as its factorization.

2792477314001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98851.

The product of its (nonzero) digits is 592704, while the sum is 47.

The spelling of 2792477314001 in words is "two trillion, seven hundred ninety-two billion, four hundred seventy-seven million, three hundred fourteen thousand, one".