214414016465 has 48 divisors (see below), whose sum is σ = 298369008000. Its totient is φ = 147397662720.

The previous prime is 214414016461. The next prime is 214414016501. The reversal of 214414016465 is 564610414412.

It is not a de Polignac number, because 214414016465 - 2² = 214414016461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214414016461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5140484 + ... + 5182026.

It is an arithmetic number, because the mean of its divisors is an integer number (6216021000).

Almost surely, 2^214414016465 is an apocalyptic number.

It is an amenable number.

214414016465 is a deficient number, since it is larger than the sum of its proper divisors (83954991535).

214414016465 is a wasteful number, since it uses less digits than its factorization.

214414016465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42038 (or 42027 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 214414016465 in words is "two hundred fourteen billion, four hundred fourteen million, sixteen thousand, four hundred sixty-five".