414543254041345 has 64 divisors (see below), whose sum is σ = 588703026594816. Its totient is φ = 276254894868480.

The previous prime is 414543254041313. The next prime is 414543254041349. The reversal of 414543254041345 is 543140452345414.

It is not a de Polignac number, because 414543254041345 - 2⁵ = 414543254041313 is a prime.

It is a super-2 number, since 2×414543254041345² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414543254041349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5819177067 + ... + 5819248303.

It is an arithmetic number, because the mean of its divisors is an integer number (9198484790544).

Almost surely, 2^{414543254041345} is an apocalyptic number.

It is an amenable number.

414543254041345 is a deficient number, since it is larger than the sum of its proper divisors (174159772553471).

414543254041345 is a wasteful number, since it uses less digits than its factorization.

414543254041345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130810.

The product of its (nonzero) digits is 9216000, while the sum is 49.

The spelling of 414543254041345 in words is "four hundred fourteen trillion, five hundred forty-three billion, two hundred fifty-four million, forty-one thousand, three hundred forty-five".