84830057536 has 105 divisors (see below), whose sum is σ = 196643395511. Its totient is φ = 36306807936.

The previous prime is 84830057497. The next prime is 84830057567. The reversal of 84830057536 is 63575003848.

The square root of 84830057536 is 291256.

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

It is a super-2 number, since 2×84830057536² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84830057536.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 114171981 + ... + 114172723.

Almost surely, 2^84830057536 is an apocalyptic number.

84830057536 is the 291256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84830057536

84830057536 is an abundant number, since it is smaller than the sum of its proper divisors (111813337975).

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

84830057536 is an frugal number, since it uses more digits than its factorization.

84830057536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 84830057536 by its sum of digits (49), we get a square (4156672819264 = 2038792²).

84830057536 divided by its sum of digits (49) gives a square (1731225664 = 41608²).

The spelling of 84830057536 in words is "eighty-four billion, eight hundred thirty million, fifty-seven thousand, five hundred thirty-six".