44546864544 has 384 divisors, whose sum is σ = 164244487680. Its totient is φ = 11430346752.

The previous prime is 44546864543. The next prime is 44546864603.

44546864544 is a `hidden beast` number, since 44 + 54 + 6 + 8 + 6 + 4 + 544 = 666.

44546864544 is nontrivially palindromic in base 10.

44546864544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (44546864543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2901432 + ... + 2916744.

It is an arithmetic number, because the mean of its divisors is an integer number (427720020).

Almost surely, 2^44546864544 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 44546864544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82122243840).

44546864544 is an abundant number, since it is smaller than the sum of its proper divisors (119697623136).

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

44546864544 is a wasteful number, since it uses less digits than its factorization.

44546864544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15389 (or 15375 counting only the distinct ones).

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

The spelling of 44546864544 in words is "forty-four billion, five hundred forty-six million, eight hundred sixty-four thousand, five hundred forty-four".