84867342400 has 63 divisors (see below), whose sum is σ = 208855381501. Its totient is φ = 33942275840.

The previous prime is 84867342377. The next prime is 84867342473. The reversal of 84867342400 is 424376848.

The square root of 84867342400 is 291320.

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., 30552243264 + 54315099136 = 174792^2 + 233056^2 .

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, 11649159 + ... + 11656441.

Almost surely, 2^84867342400 is an apocalyptic number.

84867342400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84867342400 is the 291320-th square number.

It is an amenable number.

84867342400 is an abundant number, since it is smaller than the sum of its proper divisors (123988039101).

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

84867342400 is an frugal number, since it uses more digits than its factorization.

84867342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 84867342400 in words is "eighty-four billion, eight hundred sixty-seven million, three hundred forty-two thousand, four hundred".