4454100014544 has 120 divisors (see below), whose sum is σ = 12700121762952. Its totient is φ = 1456990617600.

The previous prime is 4454100014527. The next prime is 4454100014557.

4454100014544 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 100 + 0 + 1 + 4 + 544 = 666.

4454100014544 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5004147600 + 4449095866944 = 70740^2 + 2109288^2 .

It is a super-2 number, since 2×4454100014544² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4454100014499 and 4454100014508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288384 + ... + 2998560.

Almost surely, 2^{4454100014544} 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 4454100014544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350060881476).

4454100014544 is an abundant number, since it is smaller than the sum of its proper divisors (8246021748408).

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

4454100014544 is a wasteful number, since it uses less digits than its factorization.

4454100014544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710405 (or 2710396 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 44541000 and 14544, that added together give a palindrome (44555544).

The spelling of 4454100014544 in words is "four trillion, four hundred fifty-four billion, one hundred million, fourteen thousand, five hundred forty-four".