83467093248 has 864 divisors, whose sum is σ = 317088172800. Its totient is φ = 21191639040.

The previous prime is 83467093147. The next prime is 83467093321. The reversal of 83467093248 is 84239076438.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83467093194 and 83467093203.

It is a congruent number.

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, 310286458 + ... + 310286726.

It is an arithmetic number, because the mean of its divisors is an integer number (367000200).

Almost surely, 2^83467093248 is an apocalyptic number.

83467093248 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 83467093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158544086400).

83467093248 is an abundant number, since it is smaller than the sum of its proper divisors (233621079552).

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

83467093248 is a wasteful number, since it uses less digits than its factorization.

83467093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 83467093248 in words is "eighty-three billion, four hundred sixty-seven million, ninety-three thousand, two hundred forty-eight".