445977779544 has 192 divisors, whose sum is σ = 1418820624000. Its totient is φ = 125039016960.

The previous prime is 445977779531. The next prime is 445977779551.

445977779544 is a `hidden beast` number, since 4 + 4 + 5 + 9 + 7 + 7 + 7 + 79 + 544 = 666.

445977779544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513667 + ... + 1075085.

It is an arithmetic number, because the mean of its divisors is an integer number (7389690750).

Almost surely, 2^445977779544 is an apocalyptic number.

445977779544 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 445977779544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709410312000).

445977779544 is an abundant number, since it is smaller than the sum of its proper divisors (972842844456).

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

445977779544 is a wasteful number, since it uses less digits than its factorization.

445977779544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561518 (or 561511 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 72.

The spelling of 445977779544 in words is "four hundred forty-five billion, nine hundred seventy-seven million, seven hundred seventy-nine thousand, five hundred forty-four".