314436680046144 has 448 divisors, whose sum is σ = 988198412037120. Its totient is φ = 97699004743680.

The previous prime is 314436680046037. The next prime is 314436680046187. The reversal of 314436680046144 is 441640086634413.

314436680046144 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 3 + 66 + 80 + 0 + 461 + 44 = 666.

It is a super-2 number, since 2×314436680046144² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1734474034 + ... + 1734655310.

Almost surely, 2^{314436680046144} is an apocalyptic number.

314436680046144 is a gapful number since it is divisible by the number (34) 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 314436680046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494099206018560).

314436680046144 is an abundant number, since it is smaller than the sum of its proper divisors (673761731990976).

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

314436680046144 is a wasteful number, since it uses less digits than its factorization.

314436680046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181883 (or 181867 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 314436680046144 in words is "three hundred fourteen trillion, four hundred thirty-six billion, six hundred eighty million, forty-six thousand, one hundred forty-four".