4456408046544 has 160 divisors (see below), whose sum is σ = 13105197463680. Its totient is φ = 1449054028800.

The previous prime is 4456408046479. The next prime is 4456408046557.

4456408046544 is a `hidden beast` number, since 4 + 4 + 5 + 64 + 0 + 80 + 465 + 44 = 666.

4456408046544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4456408046544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 245780359 + ... + 245798489.

It is an arithmetic number, because the mean of its divisors is an integer number (81907484148).

Almost surely, 2^{4456408046544} 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 4456408046544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552598731840).

4456408046544 is an abundant number, since it is smaller than the sum of its proper divisors (8648789417136).

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

4456408046544 is a wasteful number, since it uses less digits than its factorization.

4456408046544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32066 (or 32054 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 54.

The spelling of 4456408046544 in words is "four trillion, four hundred fifty-six billion, four hundred eight million, forty-six thousand, five hundred forty-four".