8145447558100 has 72 divisors (see below), whose sum is σ = 18154256287608. Its totient is φ = 3169960243200.

The previous prime is 8145447558049. The next prime is 8145447558103. The reversal of 8145447558100 is 18557445418.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 989758357956 + 7155689200144 = 994866^2 + 2675012^2 .

It is a super-2 number, since 2×8145447558100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8145447558103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95569104 + ... + 95654296.

It is an arithmetic number, because the mean of its divisors is an integer number (252142448439).

Almost surely, 2^{8145447558100} is an apocalyptic number.

It is an amenable number.

8145447558100 is an abundant number, since it is smaller than the sum of its proper divisors (10008808729508).

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

8145447558100 is a wasteful number, since it uses less digits than its factorization.

8145447558100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111085 (or 111078 counting only the distinct ones).

The product of its (nonzero) digits is 3584000, while the sum is 52.

The spelling of 8145447558100 in words is "eight trillion, one hundred forty-five billion, four hundred forty-seven million, five hundred fifty-eight thousand, one hundred".