84914241948 has 96 divisors (see below), whose sum is σ = 224965977600. Its totient is φ = 27691932672.

The previous prime is 84914241943. The next prime is 84914241983.

84914241948 is a `hidden beast` number, since 8 + 49 + 142 + 419 + 48 = 666.

84914241948 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 84914241894 and 84914241903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84914241943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877308 + ... + 969276.

It is an arithmetic number, because the mean of its divisors is an integer number (2343395600).

Almost surely, 2^84914241948 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 84914241948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112482988800).

84914241948 is an abundant number, since it is smaller than the sum of its proper divisors (140051735652).

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

84914241948 is a wasteful number, since it uses less digits than its factorization.

84914241948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92168 (or 92160 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 84914241948 in words is "eighty-four billion, nine hundred fourteen million, two hundred forty-one thousand, nine hundred forty-eight".