86094644838400 has 459 divisors, whose sum is σ = 235044609916753. Its totient is φ = 31259636531200.

The previous prime is 86094644838343. The next prime is 86094644838401. The reversal of 86094644838400 is 483844649068.

The square root of 86094644838400 is 9278720.

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., 30994072141824 + 55100572696576 = 5567232^2 + 7422976^2 .

It is a super-2 number, since 2×86094644838400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86094644838401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130644377271 + ... + 130644377929.

Almost surely, 2^{86094644838400} is an apocalyptic number.

86094644838400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86094644838400 is the 9278720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86094644838400

86094644838400 is an abundant number, since it is smaller than the sum of its proper divisors (148949965078353).

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

86094644838400 is an frugal number, since it uses more digits than its factorization.

86094644838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 64.

86094644838400 divided by its sum of digits (64) gives a square (1345228825600 = 1159840²).

The spelling of 86094644838400 in words is "eighty-six trillion, ninety-four billion, six hundred forty-four million, eight hundred thirty-eight thousand, four hundred".