1355249664 has 96 divisors (see below), whose sum is σ = 4014738000. Its totient is φ = 451731456.

The previous prime is 1355249617. The next prime is 1355249671. The reversal of 1355249664 is 4669425531.

1355249664 is a `hidden beast` number, since 1 + 3 + 552 + 4 + 96 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1355249664² = 3673403303544225792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43042 + ... + 67550.

Almost surely, 2^1355249664 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 1355249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007369000).

1355249664 is an abundant number, since it is smaller than the sum of its proper divisors (2659488336).

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

1355249664 is an equidigital number, since it uses as much as digits as its factorization.

1355249664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24540 (or 24514 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1355249664 is about 36813.7157048837. The cubic root of 1355249664 is about 1106.6401838794.

The spelling of 1355249664 in words is "one billion, three hundred fifty-five million, two hundred forty-nine thousand, six hundred sixty-four".