1610496416448 has 140 divisors (see below), whose sum is σ = 4774640001120. Its totient is φ = 536761963008.

The previous prime is 1610496416381. The next prime is 1610496416509. The reversal of 1610496416448 is 8446146940161.

It is a happy number.

1610496416448 is a `hidden beast` number, since 1 + 6 + 10 + 496 + 41 + 64 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1610496416394 and 1610496416403.

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 19 ways as a sum of consecutive naturals, for example, 52980838 + ... + 53011226.

Almost surely, 2^{1610496416448} is an apocalyptic number.

1610496416448 is a gapful number since it is divisible by the number (18) 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 1610496416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387320000560).

1610496416448 is an abundant number, since it is smaller than the sum of its proper divisors (3164143584672).

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

1610496416448 is a wasteful number, since it uses less digits than its factorization.

1610496416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40636 (or 40617 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1610496416448 in words is "one trillion, six hundred ten billion, four hundred ninety-six million, four hundred sixteen thousand, four hundred forty-eight".