554681385216 has 360 divisors, whose sum is σ = 1892226459200. Its totient is φ = 158313885696.

The previous prime is 554681385211. The next prime is 554681385221. The reversal of 554681385216 is 612583186455.

554681385216 is a `hidden beast` number, since 5 + 5 + 4 + 6 + 81 + 38 + 521 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (554681385211) and next prime (554681385221).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (554681385211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224839215 + ... + 224841681.

Almost surely, 2^554681385216 is an apocalyptic number.

554681385216 is a gapful number since it is divisible by the number (56) 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 554681385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946113229600).

554681385216 is an abundant number, since it is smaller than the sum of its proper divisors (1337545073984).

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

554681385216 is a wasteful number, since it uses less digits than its factorization.

554681385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4028 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 554681385216 in words is "five hundred fifty-four billion, six hundred eighty-one million, three hundred eighty-five thousand, two hundred sixteen".