314277772413 has 64 divisors (see below), whose sum is σ = 502028202240. Its totient is φ = 172694016000.

The previous prime is 314277772411. The next prime is 314277772451.

314277772413 is nontrivially palindromic in base 10.

314277772413 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 314277772413 - 2¹ = 314277772411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314277772411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2021503 + ... + 2171411.

It is an arithmetic number, because the mean of its divisors is an integer number (7844190660).

Almost surely, 2^314277772413 is an apocalyptic number.

314277772413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314277772413 is a deficient number, since it is larger than the sum of its proper divisors (187750429827).

314277772413 is a wasteful number, since it uses less digits than its factorization.

314277772413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150078.

The product of its digits is 1382976, while the sum is 48.

The spelling of 314277772413 in words is "three hundred fourteen billion, two hundred seventy-seven million, seven hundred seventy-two thousand, four hundred thirteen".