1314445611620 has 192 divisors, whose sum is σ = 2981809152000. Its totient is φ = 485222068224.

The previous prime is 1314445611607. The next prime is 1314445611643. The reversal of 1314445611620 is 261165444131.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1414903316 + ... + 1414904244.

It is an arithmetic number, because the mean of its divisors is an integer number (15530256000).

Almost surely, 2^{1314445611620} is an apocalyptic number.

1314445611620 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 1314445611620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490904576000).

1314445611620 is an abundant number, since it is smaller than the sum of its proper divisors (1667363540380).

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

1314445611620 is a wasteful number, since it uses less digits than its factorization.

1314445611620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 1314445611620 in words is "one trillion, three hundred fourteen billion, four hundred forty-five million, six hundred eleven thousand, six hundred twenty".