15662629420816 has 135 divisors (see below), whose sum is σ = 35497493874453. Its totient is φ = 6675369818880.

The previous prime is 15662629420771. The next prime is 15662629420847. The reversal of 15662629420816 is 61802492626651.

The square root of 15662629420816 is 3957604.

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., 10584637587216 + 5077991833600 = 3253404^2 + 2253440^2 .

It is a super-2 number, since 2×15662629420816² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31138428021 + ... + 31138428523.

Almost surely, 2^{15662629420816} is an apocalyptic number.

15662629420816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15662629420816 is the 3957604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15662629420816

15662629420816 is an abundant number, since it is smaller than the sum of its proper divisors (19834864453637).

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

15662629420816 is an frugal number, since it uses more digits than its factorization.

15662629420816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 15662629420816 in words is "fifteen trillion, six hundred sixty-two billion, six hundred twenty-nine million, four hundred twenty thousand, eight hundred sixteen".