314640616436451 has 80 divisors (see below), whose sum is σ = 481974164179200. Its totient is φ = 204446045829312.

The previous prime is 314640616436423. The next prime is 314640616436557. The reversal of 314640616436451 is 154634616046413.

314640616436451 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 40 + 61 + 64 + 36 + 451 = 666.

It is not a de Polignac number, because 314640616436451 - 2¹⁵ = 314640616403683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314640616436851) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4305449530 + ... + 4305522608.

It is an arithmetic number, because the mean of its divisors is an integer number (6024677052240).

Almost surely, 2^{314640616436451} is an apocalyptic number.

314640616436451 is a deficient number, since it is larger than the sum of its proper divisors (167333547742749).

314640616436451 is a wasteful number, since it uses less digits than its factorization.

314640616436451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75750 (or 75741 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 314640616436451 in words is "three hundred fourteen trillion, six hundred forty billion, six hundred sixteen million, four hundred thirty-six thousand, four hundred fifty-one".