554311320640 has 448 divisors, whose sum is σ = 1671754360320. Its totient is φ = 170055106560.

The previous prime is 554311320617. The next prime is 554311320643. The reversal of 554311320640 is 46023113455.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×554311320640² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 554311320596 and 554311320605.

It is not an unprimeable number, because it can be changed into a prime (554311320643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464635884 + ... + 464637076.

Almost surely, 2^554311320640 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 554311320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835877180160).

554311320640 is an abundant number, since it is smaller than the sum of its proper divisors (1117443039680).

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

554311320640 is a wasteful number, since it uses less digits than its factorization.

554311320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 554311320640 in words is "five hundred fifty-four billion, three hundred eleven million, three hundred twenty thousand, six hundred forty".