445356653544 has 256 divisors, whose sum is σ = 1406746137600. Its totient is φ = 129347539200.

The previous prime is 445356653509. The next prime is 445356653551.

445356653544 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 5 + 66 + 535 + 44 = 666.

445356653544 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5852299 + ... + 5927909.

It is an arithmetic number, because the mean of its divisors is an integer number (5495102100).

Almost surely, 2^445356653544 is an apocalyptic number.

445356653544 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 445356653544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703373068800).

445356653544 is an abundant number, since it is smaller than the sum of its proper divisors (961389484056).

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

445356653544 is a wasteful number, since it uses less digits than its factorization.

445356653544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75741 (or 75731 counting only the distinct ones).

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

The spelling of 445356653544 in words is "four hundred forty-five billion, three hundred fifty-six million, six hundred fifty-three thousand, five hundred forty-four".