1612956635904 has 576 divisors, whose sum is σ = 4793165217792. Its totient is φ = 479349964800.

The previous prime is 1612956635839. The next prime is 1612956635929. The reversal of 1612956635904 is 4095366592161.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3742358569 + ... + 3742358999.

It is an arithmetic number, because the mean of its divisors is an integer number (8321467392).

Almost surely, 2^{1612956635904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1612956635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396582608896).

1612956635904 is an abundant number, since it is smaller than the sum of its proper divisors (3180208581888).

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

1612956635904 is a wasteful number, since it uses less digits than its factorization.

1612956635904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 1612956635904 in words is "one trillion, six hundred twelve billion, nine hundred fifty-six million, six hundred thirty-five thousand, nine hundred four".