7081218144 has 864 divisors, whose sum is σ = 28704443040. Its totient is φ = 1639249920.

The previous prime is 7081218119. The next prime is 7081218169. The reversal of 7081218144 is 4418121807.

It is an interprime number because it is at equal distance from previous prime (7081218119) and next prime (7081218169).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7081218099 and 7081218108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 244179922 + ... + 244179950.

It is an arithmetic number, because the mean of its divisors is an integer number (33222735).

Almost surely, 2^7081218144 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 7081218144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352221520).

7081218144 is an abundant number, since it is smaller than the sum of its proper divisors (21623224896).

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

7081218144 is a wasteful number, since it uses less digits than its factorization.

7081218144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 7081218144 is about 84149.9741176431. The cubic root of 7081218144 is about 1920.3010725784.

It can be divided in two parts, 70812181 and 44, that added together give a square (70812225 = 8415²).

The spelling of 7081218144 in words is "seven billion, eighty-one million, two hundred eighteen thousand, one hundred forty-four".