3626465216144 has 20 divisors (see below), whose sum is σ = 7026956660796. Its totient is φ = 1813057045632.

The previous prime is 3626465216107. The next prime is 3626465216147. The reversal of 3626465216144 is 4416125646263.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2317701760000 + 1308763456144 = 1522400^2 + 1144012^2 .

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3626465216092 and 3626465216101.

It is not an unprimeable number, because it can be changed into a prime (3626465216147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10802159 + ... + 11132814.

Almost surely, 2^{3626465216144} is an apocalyptic number.

It is an amenable number.

3626465216144 is a deficient number, since it is larger than the sum of its proper divisors (3400491444652).

3626465216144 is a wasteful number, since it uses less digits than its factorization.

3626465216144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21945314 (or 21945308 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 50.

The spelling of 3626465216144 in words is "three trillion, six hundred twenty-six billion, four hundred sixty-five million, two hundred sixteen thousand, one hundred forty-four".