84451701600 has 1440 divisors, whose sum is σ = 381125606400. Its totient is φ = 17766604800.

The previous prime is 84451701569. The next prime is 84451701673. The reversal of 84451701600 is 610715448.

It is a happy number.

84451701600 is a `hidden beast` number, since 8 + 4 + 45 + 1 + 7 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 353354281 + ... + 353354519.

It is an arithmetic number, because the mean of its divisors is an integer number (264670560).

Almost surely, 2^84451701600 is an apocalyptic number.

84451701600 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 84451701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190562803200).

84451701600 is an abundant number, since it is smaller than the sum of its proper divisors (296673904800).

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

84451701600 is a wasteful number, since it uses less digits than its factorization.

84451701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 84451701600 in words is "eighty-four billion, four hundred fifty-one million, seven hundred one thousand, six hundred".