84264955946248 has 128 divisors (see below), whose sum is σ = 198451640217600. Its totient is φ = 32586626419200.

The previous prime is 84264955946207. The next prime is 84264955946273.

84264955946248 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44265588 + ... + 46129948.

It is an arithmetic number, because the mean of its divisors is an integer number (1550403439200).

Almost surely, 2^{84264955946248} is an apocalyptic number.

84264955946248 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 84264955946248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99225820108800).

84264955946248 is an abundant number, since it is smaller than the sum of its proper divisors (114186684271352).

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

84264955946248 is a wasteful number, since it uses less digits than its factorization.

84264955946248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864931 (or 1864927 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 76.

The spelling of 84264955946248 in words is "eighty-four trillion, two hundred sixty-four billion, nine hundred fifty-five million, nine hundred forty-six thousand, two hundred forty-eight".