914088966400 has 729 divisors, whose sum is σ = 2606994065529. Its totient is φ = 317204398080.

The previous prime is 914088966379. The next prime is 914088966409. The reversal of 914088966400 is 4669880419.

The square root of 914088966400 is 956080.

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 28261644544 + 885827321856 = 168112^2 + 941184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (914088966409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24705107182 + ... + 24705107218.

Almost surely, 2^914088966400 is an apocalyptic number.

914088966400 is the 956080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914088966400

914088966400 is an abundant number, since it is smaller than the sum of its proper divisors (1692905099129).

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

914088966400 is a wasteful number, since it uses less digits than its factorization.

914088966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 914088966400 in words is "nine hundred fourteen billion, eighty-eight million, nine hundred sixty-six thousand, four hundred".