1353533664 has 144 divisors (see below), whose sum is σ = 4160274048. Its totient is φ = 384185088.

The previous prime is 1353533651. The next prime is 1353533681. The reversal of 1353533664 is 4663353531.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784707 + ... + 786429.

It is an arithmetic number, because the mean of its divisors is an integer number (28890792).

Almost surely, 2^1353533664 is an apocalyptic number.

1353533664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353533664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080137024).

1353533664 is an abundant number, since it is smaller than the sum of its proper divisors (2806740384).

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

1353533664 is a wasteful number, since it uses less digits than its factorization.

1353533664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1902 counting only the distinct ones).

The product of its digits is 291600, while the sum is 39.

The square root of 1353533664 is about 36790.4017917717. The cubic root of 1353533664 is about 1106.1729153348.

The spelling of 1353533664 in words is "one billion, three hundred fifty-three million, five hundred thirty-three thousand, six hundred sixty-four".