1354993664 has 104 divisors (see below), whose sum is σ = 2980213440. Its totient is φ = 613122048.

The previous prime is 1354993657. The next prime is 1354993669. The reversal of 1354993664 is 4663994531.

It is a happy number.

It is a super-3 number, since 3×1354993664³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1354993669) 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, 1789574 + ... + 1790330.

Almost surely, 2^1354993664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490106720).

1354993664 is an abundant number, since it is smaller than the sum of its proper divisors (1625219776).

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

1354993664 is an equidigital number, since it uses as much as digits as its factorization.

1354993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 801 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 50.

The square root of 1354993664 is about 36810.2385757006. The cubic root of 1354993664 is about 1106.5704998612.

The spelling of 1354993664 in words is "one billion, three hundred fifty-four million, nine hundred ninety-three thousand, six hundred sixty-four".