554977321024 has 189 divisors, whose sum is σ = 1310934681021. Its totient is φ = 232430016000.

The previous prime is 554977321013. The next prime is 554977321027. The reversal of 554977321024 is 420123779455.

The square root of 554977321024 is 744968.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 400081550400 + 154895770624 = 632520^2 + 393568^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (554977321027) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2211064899 + ... + 2211065149.

Almost surely, 2^554977321024 is an apocalyptic number.

554977321024 is the 744968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554977321024

554977321024 is an abundant number, since it is smaller than the sum of its proper divisors (755957359997).

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

554977321024 is an frugal number, since it uses more digits than its factorization.

554977321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Multiplying 554977321024 by its sum of digits (49), we get a square (27193888730176 = 5214776²).

554977321024 divided by its sum of digits (49) gives a square (11326067776 = 106424²).

The spelling of 554977321024 in words is "five hundred fifty-four billion, nine hundred seventy-seven million, three hundred twenty-one thousand, twenty-four".