46443025567744 has 117 divisors (see below), whose sum is σ = 100580755095369. Its totient is φ = 21432625643520.

The previous prime is 46443025567739. The next prime is 46443025567753. The reversal of 46443025567744 is 44776552034464.

It is a happy number.

The square root of 46443025567744 is 6814912.

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., 6870270054400 + 39572755513344 = 2621120^2 + 6290688^2 .

It is a super-2 number, since 2×46443025567744² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5670002689 + ... + 5670010879.

Almost surely, 2^{46443025567744} is an apocalyptic number.

46443025567744 is the 6814912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46443025567744

46443025567744 is an abundant number, since it is smaller than the sum of its proper divisors (54137729527625).

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

46443025567744 is an frugal number, since it uses more digits than its factorization.

46443025567744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16432 (or 8206 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 61.

The spelling of 46443025567744 in words is "forty-six trillion, four hundred forty-three billion, twenty-five million, five hundred sixty-seven thousand, seven hundred forty-four".