84031133113048 has 96 divisors (see below), whose sum is σ = 174938425159680. Its totient is φ = 37809338212800.

The previous prime is 84031133112919. The next prime is 84031133113073.

84031133113048 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84031133113048² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84031133113048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240211561 + ... + 240561127.

It is an arithmetic number, because the mean of its divisors is an integer number (1822275262080).

Almost surely, 2^{84031133113048} is an apocalyptic number.

84031133113048 is a gapful number since it is divisible by the number (88) 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 84031133113048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87469212579840).

84031133113048 is an abundant number, since it is smaller than the sum of its proper divisors (90907292046632).

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

84031133113048 is a wasteful number, since it uses less digits than its factorization.

84031133113048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352109 (or 352094 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 84031133113048 in words is "eighty-four trillion, thirty-one billion, one hundred thirty-three million, one hundred thirteen thousand, forty-eight".