84493951338048 has 224 divisors, whose sum is σ = 266615202201600. Its totient is φ = 23090374010880.

The previous prime is 84493951337977. The next prime is 84493951338091. The reversal of 84493951338048 is 84083315939448.

84493951338048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766531578 + ... + 766641798.

It is an arithmetic number, because the mean of its divisors is an integer number (1190246438400).

Almost surely, 2^{84493951338048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84493951338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133307601100800).

84493951338048 is an abundant number, since it is smaller than the sum of its proper divisors (182121250863552).

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

84493951338048 is a wasteful number, since it uses less digits than its factorization.

84493951338048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135065 (or 135055 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 69.

The spelling of 84493951338048 in words is "eighty-four trillion, four hundred ninety-three billion, nine hundred fifty-one million, three hundred thirty-eight thousand, forty-eight".