445276444536 has 1152 divisors, whose sum is σ = 1697285990400. Its totient is φ = 106697606400.

The previous prime is 445276444507. The next prime is 445276444607. The reversal of 445276444536 is 635444672544.

445276444536 is a `hidden beast` number, since 4 + 4 + 5 + 2 + 7 + 64 + 44 + 536 = 666.

It is a super-2 number, since 2×445276444536² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1345245891 + ... + 1345246221.

Almost surely, 2^445276444536 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 445276444536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848642995200).

445276444536 is an abundant number, since it is smaller than the sum of its proper divisors (1252009545864).

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

445276444536 is a wasteful number, since it uses less digits than its factorization.

445276444536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 416 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 54.

The spelling of 445276444536 in words is "four hundred forty-five billion, two hundred seventy-six million, four hundred forty-four thousand, five hundred thirty-six".