7858214144 has 72 divisors (see below), whose sum is σ = 17156845440. Its totient is φ = 3562496000.

The previous prime is 7858214107. The next prime is 7858214167. The reversal of 7858214144 is 4414128587.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 7858214095 and 7858214104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125737 + ... + 1132695.

It is an arithmetic number, because the mean of its divisors is an integer number (238289520).

Almost surely, 2^7858214144 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 7858214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578422720).

7858214144 is an abundant number, since it is smaller than the sum of its proper divisors (9298631296).

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

7858214144 is a wasteful number, since it uses less digits than its factorization.

7858214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7373 counting only the distinct ones).

The product of its digits is 286720, while the sum is 44.

The square root of 7858214144 is about 88646.5687096799. The cubic root of 7858214144 is about 1988.1140135980.

The spelling of 7858214144 in words is "seven billion, eight hundred fifty-eight million, two hundred fourteen thousand, one hundred forty-four".