1347670235664 has 135 divisors (see below), whose sum is σ = 3917561009583. Its totient is φ = 449098035552.

The previous prime is 1347670235651. The next prime is 1347670235677. The reversal of 1347670235664 is 4665320767431.

The square root of 1347670235664 is 1160892.

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

1347670235664 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 6 + 70 + 2 + 3 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1347670235651) and next prime (1347670235677).

It is a super-2 number, since 2×1347670235664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1347670235664.

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, 376127217 + ... + 376130799.

Almost surely, 2^{1347670235664} is an apocalyptic number.

1347670235664 is the 1160892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1347670235664

1347670235664 is an abundant number, since it is smaller than the sum of its proper divisors (2569890773919).

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

1347670235664 is an frugal number, since it uses more digits than its factorization.

1347670235664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 1347670235664 in words is "one trillion, three hundred forty-seven billion, six hundred seventy million, two hundred thirty-five thousand, six hundred sixty-four".