94628730952900 has 81 divisors (see below), whose sum is σ = 208469289428589. Its totient is φ = 37283976612960.

The previous prime is 94628730952897. The next prime is 94628730952907. The reversal of 94628730952900 is 925903782649.

The square root of 94628730952900 is 9727730.

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., 34066343143044 + 60562387809856 = 5836638^2 + 7782184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94628730952907) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6517571841 + ... + 6517586359.

Almost surely, 2^{94628730952900} is an apocalyptic number.

94628730952900 is the 9727730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94628730952900

94628730952900 is an abundant number, since it is smaller than the sum of its proper divisors (113840558475689).

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

94628730952900 is an frugal number, since it uses more digits than its factorization.

94628730952900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29186 (or 14593 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 94628730952900 in words is "ninety-four trillion, six hundred twenty-eight billion, seven hundred thirty million, nine hundred fifty-two thousand, nine hundred".