84534353904 has 720 divisors, whose sum is σ = 305800073376. Its totient is φ = 19926466560.

The previous prime is 84534353857. The next prime is 84534353923. The reversal of 84534353904 is 40935343548.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 143 ways as a sum of consecutive naturals, for example, 270077652 + ... + 270077964.

Almost surely, 2^84534353904 is an apocalyptic number.

84534353904 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 84534353904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152900036688).

84534353904 is an abundant number, since it is smaller than the sum of its proper divisors (221265719472).

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

84534353904 is a wasteful number, since it uses less digits than its factorization.

84534353904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 84534353904 in words is "eighty-four billion, five hundred thirty-four million, three hundred fifty-three thousand, nine hundred four".