6349456854 has 192 divisors, whose sum is σ = 16268091840. Its totient is φ = 1771683840.

The previous prime is 6349456811. The next prime is 6349456931. The reversal of 6349456854 is 4586549436.

It is a super-3 number, since 3×6349456854³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6349456854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26346174 + ... + 26346414.

It is an arithmetic number, because the mean of its divisors is an integer number (84729645).

Almost surely, 2^6349456854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6349456854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134045920).

6349456854 is an abundant number, since it is smaller than the sum of its proper divisors (9918634986).

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

6349456854 is a wasteful number, since it uses less digits than its factorization.

6349456854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 492 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 6349456854 is about 79683.4791785600. The cubic root of 6349456854 is about 1851.7351000828.

It can be divided in two parts, 6349 and 456854, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 6349456854 in words is "six billion, three hundred forty-nine million, four hundred fifty-six thousand, eight hundred fifty-four".