4387156458916 has 405 divisors, whose sum is σ = 10350467675457. Its totient is φ = 1625709032640.

The previous prime is 4387156458913. The next prime is 4387156458917. The reversal of 4387156458916 is 6198546517834.

The square root of 4387156458916 is 2094554.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2300518428516 + 2086638030400 = 1516746^2 + 1444520^2 .

It is a Harshad number since it is a multiple of its sum of digits (67).

It is not an unprimeable number, because it can be changed into a prime (4387156458913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 65479947115 + ... + 65479947181.

Almost surely, 2^{4387156458916} is an apocalyptic number.

4387156458916 is the 2094554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4387156458916

4387156458916 is an abundant number, since it is smaller than the sum of its proper divisors (5963311216541).

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

4387156458916 is an equidigital number, since it uses as much as digits as its factorization.

4387156458916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 116 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 67.

The spelling of 4387156458916 in words is "four trillion, three hundred eighty-seven billion, one hundred fifty-six million, four hundred fifty-eight thousand, nine hundred sixteen".