1353574656 has 432 divisors, whose sum is σ = 4821223680. Its totient is φ = 356843520.

The previous prime is 1353574643. The next prime is 1353574699. The reversal of 1353574656 is 6564753531.

1353574656 is a `hidden beast` number, since 13 + 5 + 3 + 574 + 65 + 6 = 666.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15208660 + ... + 15208748.

It is an arithmetic number, because the mean of its divisors is an integer number (11160240).

Almost surely, 2^1353574656 is an apocalyptic number.

1353574656 is a gapful number since it is divisible by the number (16) 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 1353574656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410611840).

1353574656 is an abundant number, since it is smaller than the sum of its proper divisors (3467649024).

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

1353574656 is a wasteful number, since it uses less digits than its factorization.

1353574656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 1353574656 is about 36790.9588893793. The cubic root of 1353574656 is about 1106.1840821012.

The spelling of 1353574656 in words is "one billion, three hundred fifty-three million, five hundred seventy-four thousand, six hundred fifty-six".