445653356544 has 416 divisors, whose sum is σ = 1479396823680. Its totient is φ = 131383296000.

The previous prime is 445653356483. The next prime is 445653356549.

445653356544 is a `hidden beast` number, since 4 + 4 + 5 + 6 + 5 + 33 + 565 + 44 = 666.

445653356544 is nontrivially palindromic in base 10.

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 (445653356549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45005994 + ... + 45015894.

Almost surely, 2^445653356544 is an apocalyptic number.

445653356544 is a gapful number since it is divisible by the number (44) 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 445653356544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739698411840).

445653356544 is an abundant number, since it is smaller than the sum of its proper divisors (1033743467136).

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

445653356544 is a wasteful number, since it uses less digits than its factorization.

445653356544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982 (or 9954 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 445653356544 in words is "four hundred forty-five billion, six hundred fifty-three million, three hundred fifty-six thousand, five hundred forty-four".