7482358452100 has 243 divisors, whose sum is σ = 19756143473157. Its totient is φ = 2452397492160.

The previous prime is 7482358452083. The next prime is 7482358452103. The reversal of 7482358452100 is 12548532847.

The square root of 7482358452100 is 2735390.

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

It can be written as a sum of positive squares in only one way, i.e., 2693649042756 + 4788709409344 = 1641234^2 + 2188312^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (7482358452103) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4403977051 + ... + 4403978749.

Almost surely, 2^{7482358452100} is an apocalyptic number.

7482358452100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7482358452100 is the 2735390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7482358452100

7482358452100 is an abundant number, since it is smaller than the sum of its proper divisors (12273785021057).

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

7482358452100 is a wasteful number, since it uses less digits than its factorization.

7482358452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

Multiplying 7482358452100 by its sum of digits (49), we get a square (366635564152900 = 19147730²).

7482358452100 divided by its sum of digits (49) gives a square (152701192900 = 390770²).

The spelling of 7482358452100 in words is "seven trillion, four hundred eighty-two billion, three hundred fifty-eight million, four hundred fifty-two thousand, one hundred".