7151859456 has 144 divisors (see below), whose sum is σ = 21958642944. Its totient is φ = 2024128512.

The previous prime is 7151859397. The next prime is 7151859497. The reversal of 7151859456 is 6549581517.

It is a super-3 number, since 3×7151859456³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 7151859399 and 7151859408.

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 15 ways as a sum of consecutive naturals, for example, 569016 + ... + 581448.

It is an arithmetic number, because the mean of its divisors is an integer number (152490576).

Almost surely, 2^7151859456 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 7151859456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979321472).

7151859456 is an abundant number, since it is smaller than the sum of its proper divisors (14806783488).

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

7151859456 is a wasteful number, since it uses less digits than its factorization.

7151859456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12566 (or 12552 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 51.

The square root of 7151859456 is about 84568.6671054948. The cubic root of 7151859456 is about 1926.6655136359.

The spelling of 7151859456 in words is "seven billion, one hundred fifty-one million, eight hundred fifty-nine thousand, four hundred fifty-six".