45193485212100 has 243 divisors, whose sum is σ = 142295912284071. Its totient is φ = 11997438710400.

The previous prime is 45193485212063. The next prime is 45193485212123. The reversal of 45193485212100 is 121258439154.

The square root of 45193485212100 is 6722610.

It is a perfect power (a square), and thus also a powerful number.

45193485212100 is a `hidden beast` number, since 4 + 5 + 19 + 3 + 4 + 8 + 521 + 2 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13021719707844 + 32171765504256 = 3608562^2 + 5672016^2 .

It is a super-2 number, since 2×45193485212100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 66755516962 + ... + 66755517638.

Almost surely, 2^{45193485212100} is an apocalyptic number.

45193485212100 is the 6722610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45193485212100

45193485212100 is an abundant number, since it is smaller than the sum of its proper divisors (97102427071971).

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

45193485212100 is an equidigital number, since it uses as much as digits as its factorization.

45193485212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 45193485212100 in words is "forty-five trillion, one hundred ninety-three billion, four hundred eighty-five million, two hundred twelve thousand, one hundred".