83474091043200 has 4608 divisors, whose sum is σ = 402459865920000. Its totient is φ = 16645069209600.

The previous prime is 83474091043199. The next prime is 83474091043307. The reversal of 83474091043200 is 234019047438.

83474091043200 is a `hidden beast` number, since 8 + 34 + 7 + 409 + 1 + 0 + 4 + 3 + 200 = 666.

It is a super-3 number, since 3×83474091043200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 51879483996 + ... + 51879485604.

It is an arithmetic number, because the mean of its divisors is an integer number (87339380625).

Almost surely, 2^{83474091043200} is an apocalyptic number.

83474091043200 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 83474091043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201229932960000).

83474091043200 is an abundant number, since it is smaller than the sum of its proper divisors (318985774876800).

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

83474091043200 is a wasteful number, since it uses less digits than its factorization.

83474091043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 83474091043200 in words is "eighty-three trillion, four hundred seventy-four billion, ninety-one million, forty-three thousand, two hundred".