554528380224 has 224 divisors, whose sum is σ = 1835378250496. Its totient is φ = 143851438080.

The previous prime is 554528380201. The next prime is 554528380247. The reversal of 554528380224 is 422083825455.

It is an interprime number because it is at equal distance from previous prime (554528380201) and next prime (554528380247).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×554528380224² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805644 + ... + 1325940.

It is an arithmetic number, because the mean of its divisors is an integer number (8193652904).

Almost surely, 2^554528380224 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 554528380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917689125248).

554528380224 is an abundant number, since it is smaller than the sum of its proper divisors (1280849870272).

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

554528380224 is a wasteful number, since it uses less digits than its factorization.

554528380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520393 (or 520383 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 48.

The spelling of 554528380224 in words is "five hundred fifty-four billion, five hundred twenty-eight million, three hundred eighty thousand, two hundred twenty-four".