445151401153536 has 2112 divisors, whose sum is σ = 1642735178219520. Its totient is φ = 104486215680000.

The previous prime is 445151401153493. The next prime is 445151401153541. The reversal of 445151401153536 is 635351104151544.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108812366851 + ... + 108812370941.

It is an arithmetic number, because the mean of its divisors is an integer number (777810216960).

Almost surely, 2^{445151401153536} 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 445151401153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821367589109760).

445151401153536 is an abundant number, since it is smaller than the sum of its proper divisors (1197583777065984).

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

445151401153536 is a wasteful number, since it uses less digits than its factorization.

445151401153536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 445151401153536 in words is "four hundred forty-five trillion, one hundred fifty-one billion, four hundred one million, one hundred fifty-three thousand, five hundred thirty-six".