314145061633253 has 16 divisors (see below), whose sum is σ = 322687480704000. Its totient is φ = 305605384900992.

The previous prime is 314145061633243. The next prime is 314145061633349. The reversal of 314145061633253 is 352336160541413.

It is a cyclic number.

It is not a de Polignac number, because 314145061633253 - 2⁴ = 314145061633237 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314145061633198 and 314145061633207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314145061633243) 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, 8649588428 + ... + 8649624746.

It is an arithmetic number, because the mean of its divisors is an integer number (20167967544000).

Almost surely, 2^{314145061633253} is an apocalyptic number.

It is an amenable number.

314145061633253 is a deficient number, since it is larger than the sum of its proper divisors (8542419070747).

314145061633253 is a wasteful number, since it uses less digits than its factorization.

314145061633253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67604.

The product of its (nonzero) digits is 2332800, while the sum is 47.

The spelling of 314145061633253 in words is "three hundred fourteen trillion, one hundred forty-five billion, sixty-one million, six hundred thirty-three thousand, two hundred fifty-three".