414849948414 has 64 divisors (see below), whose sum is σ = 963336084480. Its totient is φ = 117704171520.

The previous prime is 414849948407. The next prime is 414849948421.

414849948414 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (414849948407) and next prime (414849948421).

It is a super-2 number, since 2×414849948414² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741334 + ... + 1174425.

It is an arithmetic number, because the mean of its divisors is an integer number (15052126320).

Almost surely, 2^414849948414 is an apocalyptic number.

414849948414 is an abundant number, since it is smaller than the sum of its proper divisors (548486136066).

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

414849948414 is a wasteful number, since it uses less digits than its factorization.

414849948414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915985.

The product of its digits is 21233664, while the sum is 60.

The spelling of 414849948414 in words is "four hundred fourteen billion, eight hundred forty-nine million, nine hundred forty-eight thousand, four hundred fourteen".