85345038324 has 432 divisors, whose sum is σ = 296063586000. Its totient is φ = 20451336192.

The previous prime is 85345038271. The next prime is 85345038377. The reversal of 85345038324 is 42383054358.

85345038324 is a `hidden beast` number, since 8 + 534 + 50 + 38 + 32 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (85345038271) and next prime (85345038377).

It can be written as a sum of positive squares in 8 ways, for example, as 1871427600 + 83473610724 = 43260^2 + 288918^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85345038324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11301702 + ... + 11309250.

It is an arithmetic number, because the mean of its divisors is an integer number (685332375).

Almost surely, 2^85345038324 is an apocalyptic number.

85345038324 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85345038324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148031793000).

85345038324 is an abundant number, since it is smaller than the sum of its proper divisors (210718547676).

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

85345038324 is a wasteful number, since it uses less digits than its factorization.

85345038324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 85345038324 in words is "eighty-five billion, three hundred forty-five million, thirty-eight thousand, three hundred twenty-four".