4134546898944 has 544 divisors, whose sum is σ = 14007996071424. Its totient is φ = 1053441392640.

The previous prime is 4134546898919. The next prime is 4134546898961. The reversal of 4134546898944 is 4498986454314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802354672 + ... + 802359824.

Almost surely, 2^{4134546898944} is an apocalyptic number.

4134546898944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134546898944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003998035712).

4134546898944 is an abundant number, since it is smaller than the sum of its proper divisors (9873449172480).

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

4134546898944 is an equidigital number, since it uses as much as digits as its factorization.

4134546898944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5229 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 69.

The spelling of 4134546898944 in words is "four trillion, one hundred thirty-four billion, five hundred forty-six million, eight hundred ninety-eight thousand, nine hundred forty-four".