84518971296400 has 45 divisors (see below), whose sum is σ = 203057270284393. Its totient is φ = 33807514971200.

The previous prime is 84518971296367. The next prime is 84518971296437. The reversal of 84518971296400 is 469217981548.

The square root of 84518971296400 is 9193420.

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., 30426829666704 + 54092141629696 = 5516052^2 + 7354736^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 183638565 + ... + 184098235.

Almost surely, 2^{84518971296400} is an apocalyptic number.

84518971296400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84518971296400 is the 9193420-th square number.

It is an amenable number.

84518971296400 is an abundant number, since it is smaller than the sum of its proper divisors (118538298987993).

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

84518971296400 is an frugal number, since it uses more digits than its factorization.

84518971296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919360 (or 459678 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

The spelling of 84518971296400 in words is "eighty-four trillion, five hundred eighteen billion, nine hundred seventy-one million, two hundred ninety-six thousand, four hundred".