1610398884864 has 352 divisors, whose sum is σ = 5400621388800. Its totient is φ = 414441308160.

The previous prime is 1610398884863. The next prime is 1610398884911. The reversal of 1610398884864 is 4684888930161.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1610398884795 and 1610398884804.

It is not an unprimeable number, because it can be changed into a prime (1610398884863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25752067 + ... + 25814525.

It is an arithmetic number, because the mean of its divisors is an integer number (15342674400).

Almost surely, 2^{1610398884864} is an apocalyptic number.

1610398884864 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 1610398884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700310694400).

1610398884864 is an abundant number, since it is smaller than the sum of its proper divisors (3790222503936).

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

1610398884864 is a wasteful number, since it uses less digits than its factorization.

1610398884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62609 (or 62591 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 66.

The spelling of 1610398884864 in words is "one trillion, six hundred ten billion, three hundred ninety-eight million, eight hundred eighty-four thousand, eight hundred sixty-four".