414114003245 has 64 divisors (see below), whose sum is σ = 550258790400. Its totient is φ = 298082695680.

The previous prime is 414114003221. The next prime is 414114003257. The reversal of 414114003245 is 542300411414.

It is not a de Polignac number, because 414114003245 - 2²² = 414109808941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21162776 + ... + 21182334.

It is an arithmetic number, because the mean of its divisors is an integer number (8597793600).

Almost surely, 2^414114003245 is an apocalyptic number.

It is an amenable number.

414114003245 is a deficient number, since it is larger than the sum of its proper divisors (136144787155).

414114003245 is a wasteful number, since it uses less digits than its factorization.

414114003245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19770.

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 414114003245 its reverse (542300411414), we get a palindrome (956414414659).

The spelling of 414114003245 in words is "four hundred fourteen billion, one hundred fourteen million, three thousand, two hundred forty-five".