4684154514864 has 240 divisors, whose sum is σ = 14100960814080. Its totient is φ = 1336524710400.

The previous prime is 4684154514859. The next prime is 4684154514887.

4684154514864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4684154514798 and 4684154514807.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6310207 + ... + 7013345.

It is an arithmetic number, because the mean of its divisors is an integer number (58754003392).

Almost surely, 2^{4684154514864} is an apocalyptic number.

4684154514864 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 4684154514864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050480407040).

4684154514864 is an abundant number, since it is smaller than the sum of its proper divisors (9416806299216).

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

4684154514864 is a wasteful number, since it uses less digits than its factorization.

4684154514864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703240 (or 703223 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 60.

The spelling of 4684154514864 in words is "four trillion, six hundred eighty-four billion, one hundred fifty-four million, five hundred fourteen thousand, eight hundred sixty-four".