84139281408 has 1056 divisors, whose sum is σ = 309451376640. Its totient is φ = 20065812480.

The previous prime is 84139281367. The next prime is 84139281431. The reversal of 84139281408 is 80418293148.

It is a happy number.

It is a super-2 number, since 2×84139281408² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1152592860 + ... + 1152592932.

Almost surely, 2^84139281408 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 84139281408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154725688320).

84139281408 is an abundant number, since it is smaller than the sum of its proper divisors (225312095232).

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

84139281408 is a wasteful number, since it uses less digits than its factorization.

84139281408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 84139281408 in words is "eighty-four billion, one hundred thirty-nine million, two hundred eighty-one thousand, four hundred eight".