1612516795344 has 640 divisors, whose sum is σ = 5746973281280. Its totient is φ = 421543305216.

The previous prime is 1612516795283. The next prime is 1612516795403. The reversal of 1612516795344 is 4435976152161.

1612516795344 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 516 + 7 + 95 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4061754954 + ... + 4061755350.

It is an arithmetic number, because the mean of its divisors is an integer number (8979645752).

Almost surely, 2^{1612516795344} is an apocalyptic number.

1612516795344 is a gapful number since it is divisible by the number (14) 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 1612516795344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873486640640).

1612516795344 is an abundant number, since it is smaller than the sum of its proper divisors (4134456485936).

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

1612516795344 is a wasteful number, since it uses less digits than its factorization.

1612516795344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1072 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 1612516795344 in words is "one trillion, six hundred twelve billion, five hundred sixteen million, seven hundred ninety-five thousand, three hundred forty-four".