1353616816 has 40 divisors (see below), whose sum is σ = 2644545024. Its totient is φ = 671181120.

The previous prime is 1353616807. The next prime is 1353616819. The reversal of 1353616816 is 6186163531.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1353616819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1139775 + ... + 1140961.

Almost surely, 2^1353616816 is an apocalyptic number.

1353616816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1353616816 is a deficient number, since it is larger than the sum of its proper divisors (1290928208).

1353616816 is a wasteful number, since it uses less digits than its factorization.

1353616816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1723 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 1353616816 is about 36791.5318517726. The cubic root of 1353616816 is about 1106.1955668110.

The spelling of 1353616816 in words is "one billion, three hundred fifty-three million, six hundred sixteen thousand, eight hundred sixteen".