314163206054640 has 200 divisors, whose sum is σ = 1091508206057280. Its totient is φ = 83748227802624.

The previous prime is 314163206054597. The next prime is 314163206054641. The reversal of 314163206054640 is 46450602361413.

314163206054640 is a `hidden beast` number, since 3 + 1 + 4 + 1 + 6 + 3 + 2 + 0 + 60 + 546 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314163206054641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10685106 + ... + 27248814.

Almost surely, 2^{314163206054640} is an apocalyptic number.

314163206054640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314163206054640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545754103028640).

314163206054640 is an abundant number, since it is smaller than the sum of its proper divisors (777345000002640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314163206054640 is a wasteful number, since it uses less digits than its factorization.

314163206054640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16566661 (or 16566646 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 314163206054640 in words is "three hundred fourteen trillion, one hundred sixty-three billion, two hundred six million, fifty-four thousand, six hundred forty".