544634259456 has 384 divisors, whose sum is σ = 1763379072000. Its totient is φ = 146018598912.

The previous prime is 544634259439. The next prime is 544634259509. The reversal of 544634259456 is 654952436445.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 544634259396 and 544634259405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87432150 + ... + 87438378.

It is an arithmetic number, because the mean of its divisors is an integer number (4592133000).

Almost surely, 2^544634259456 is an apocalyptic number.

544634259456 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 544634259456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881689536000).

544634259456 is an abundant number, since it is smaller than the sum of its proper divisors (1218744812544).

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

544634259456 is a wasteful number, since it uses less digits than its factorization.

544634259456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6367 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 57.

The spelling of 544634259456 in words is "five hundred forty-four billion, six hundred thirty-four million, two hundred fifty-nine thousand, four hundred fifty-six".