83048234400 has 432 divisors, whose sum is σ = 306447261120. Its totient is φ = 21123379200.

The previous prime is 83048234383. The next prime is 83048234411. The reversal of 83048234400 is 443284038.

83048234400 is a `hidden beast` number, since 8 + 304 + 8 + 2 + 344 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109130020 + ... + 109130780.

It is an arithmetic number, because the mean of its divisors is an integer number (709368660).

Almost surely, 2^83048234400 is an apocalyptic number.

83048234400 is a gapful number since it is divisible by the number (80) 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 83048234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153223630560).

83048234400 is an abundant number, since it is smaller than the sum of its proper divisors (223399026720).

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

83048234400 is a wasteful number, since it uses less digits than its factorization.

83048234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 83048234400 in words is "eighty-three billion, forty-eight million, two hundred thirty-four thousand, four hundred".