1314934656 has 128 divisors (see below), whose sum is σ = 4165516800. Its totient is φ = 359344128.

The previous prime is 1314934637. The next prime is 1314934757. The reversal of 1314934656 is 6564394131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51190 + ... + 72458.

It is an arithmetic number, because the mean of its divisors is an integer number (32543100).

Almost surely, 2^1314934656 is an apocalyptic number.

1314934656 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 1314934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082758400).

1314934656 is an abundant number, since it is smaller than the sum of its proper divisors (2850582144).

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

1314934656 is a wasteful number, since it uses less digits than its factorization.

1314934656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21316 (or 21304 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 1314934656 is about 36262.0277425298. The cubic root of 1314934656 is about 1095.5563587096.

The spelling of 1314934656 in words is "one billion, three hundred fourteen million, nine hundred thirty-four thousand, six hundred fifty-six".