554960484864 has 160 divisors (see below), whose sum is σ = 1659660858240. Its totient is φ = 183079305216.

The previous prime is 554960484839. The next prime is 554960484889. The reversal of 554960484864 is 468484069455.

554960484864 is a `hidden beast` number, since 5 + 5 + 4 + 96 + 0 + 484 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (554960484839) and next prime (554960484889).

It is a super-3 number, since 3×554960484864³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133997 + ... + 1547859.

It is an arithmetic number, because the mean of its divisors is an integer number (10372880364).

Almost surely, 2^554960484864 is an apocalyptic number.

554960484864 is a gapful number since it is divisible by the number (54) 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 554960484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829830429120).

554960484864 is an abundant number, since it is smaller than the sum of its proper divisors (1104700373376).

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

554960484864 is an equidigital number, since it uses as much as digits as its factorization.

554960484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413987 (or 413965 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 554960484864 in words is "five hundred fifty-four billion, nine hundred sixty million, four hundred eighty-four thousand, eight hundred sixty-four".