1608652864440 has 256 divisors, whose sum is σ = 5461986816000. Its totient is φ = 421062935040.

The previous prime is 1608652864393. The next prime is 1608652864487. The reversal of 1608652864440 is 444682568061.

1608652864440 is a `hidden beast` number, since 1 + 60 + 8 + 65 + 2 + 86 + 4 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1608652864393) and next prime (1608652864487).

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 63 ways as a sum of consecutive naturals, for example, 12532185 + ... + 12659895.

It is an arithmetic number, because the mean of its divisors is an integer number (21335886000).

Almost surely, 2^{1608652864440} is an apocalyptic number.

1608652864440 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 1608652864440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730993408000).

1608652864440 is an abundant number, since it is smaller than the sum of its proper divisors (3853333951560).

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

1608652864440 is a wasteful number, since it uses less digits than its factorization.

1608652864440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127947 (or 127937 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1608652864440 in words is "one trillion, six hundred eight billion, six hundred fifty-two million, eight hundred sixty-four thousand, four hundred forty".