812954689600 has 63 divisors (see below), whose sum is σ = 2000465380951. Its totient is φ = 325167449600.

The previous prime is 812954689597. The next prime is 812954689609. The reversal of 812954689600 is 6986459218.

The square root of 812954689600 is 901640.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24069660736 + 788885028864 = 155144^2 + 888192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (812954689609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36054330 + ... + 36076870.

Almost surely, 2^812954689600 is an apocalyptic number.

812954689600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

812954689600 is the 901640-th square number.

It is an amenable number.

812954689600 is an abundant number, since it is smaller than the sum of its proper divisors (1187510691351).

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

812954689600 is an frugal number, since it uses more digits than its factorization.

812954689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45104 (or 22548 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 812954689600 in words is "eight hundred twelve billion, nine hundred fifty-four million, six hundred eighty-nine thousand, six hundred".