4949355446784 has 840 divisors, whose sum is σ = 18156519984240. Its totient is φ = 1339581100032.

The previous prime is 4949355446779. The next prime is 4949355446843. The reversal of 4949355446784 is 4876445539494.

4949355446784 is a `hidden beast` number, since 4 + 9 + 4 + 9 + 3 + 5 + 544 + 6 + 78 + 4 = 666.

It is a super-3 number, since 3×4949355446784³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 347486767 + ... + 347501009.

Almost surely, 2^{4949355446784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4949355446784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9078259992120).

4949355446784 is an abundant number, since it is smaller than the sum of its proper divisors (13207164537456).

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

4949355446784 is an equidigital number, since it uses as much as digits as its factorization.

4949355446784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14312 (or 14274 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 4949355446784 in words is "four trillion, nine hundred forty-nine billion, three hundred fifty-five million, four hundred forty-six thousand, seven hundred eighty-four".