1314647331840 has 352 divisors, whose sum is σ = 4728349906560. Its totient is φ = 346345832448.

The previous prime is 1314647331839. The next prime is 1314647331859. The reversal of 1314647331840 is 481337464131.

1314647331840 is a `hidden beast` number, since 1 + 3 + 1 + 464 + 7 + 3 + 3 + 184 + 0 = 666.

It is a super-2 number, since 2×1314647331840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11416632 + ... + 11531208.

Almost surely, 2^{1314647331840} is an apocalyptic number.

1314647331840 is a gapful number since it is divisible by the number (10) 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 1314647331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364174953280).

1314647331840 is an abundant number, since it is smaller than the sum of its proper divisors (3413702574720).

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

1314647331840 is a wasteful number, since it uses less digits than its factorization.

1314647331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114694 (or 114670 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1314647331840 in words is "one trillion, three hundred fourteen billion, six hundred forty-seven million, three hundred thirty-one thousand, eight hundred forty".