8714953452100 has 243 divisors, whose sum is σ = 22216594056741. Its totient is φ = 2958722726400.

The previous prime is 8714953452071. The next prime is 8714953452131. The reversal of 8714953452100 is 12543594178.

It is a happy number.

The square root of 8714953452100 is 2952110.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7664049633604 + 1050903818496 = 2768402^2 + 1025136^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37403233584 + ... + 37403233816.

Almost surely, 2^{8714953452100} is an apocalyptic number.

8714953452100 is the 2952110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8714953452100

8714953452100 is an abundant number, since it is smaller than the sum of its proper divisors (13501640604641).

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

8714953452100 is a wasteful number, since it uses less digits than its factorization.

8714953452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 8714953452100 by its sum of digits (49), we get a square (427032719152900 = 20664770²).

8714953452100 divided by its sum of digits (49) gives a square (177856192900 = 421730²).

The spelling of 8714953452100 in words is "eight trillion, seven hundred fourteen billion, nine hundred fifty-three million, four hundred fifty-two thousand, one hundred".