1356456164 has 48 divisors (see below), whose sum is σ = 2742018048. Its totient is φ = 575138208.

The previous prime is 1356456161. The next prime is 1356456169. The reversal of 1356456164 is 4616546531.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1356456161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1229237 + ... + 1230339.

It is an arithmetic number, because the mean of its divisors is an integer number (57125376).

Almost surely, 2^1356456164 is an apocalyptic number.

1356456164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1356456164 is an abundant number, since it is smaller than the sum of its proper divisors (1385561884).

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

1356456164 is a wasteful number, since it uses less digits than its factorization.

1356456164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1542 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

The square root of 1356456164 is about 36830.0986151273. The cubic root of 1356456164 is about 1106.9684789549.

The spelling of 1356456164 in words is "one billion, three hundred fifty-six million, four hundred fifty-six thousand, one hundred sixty-four".