1608407233776 has 480 divisors, whose sum is σ = 5697825792000. Its totient is φ = 431916613632.

The previous prime is 1608407233711. The next prime is 1608407233787. The reversal of 1608407233776 is 6773327048061.

1608407233776 is a `hidden beast` number, since 1 + 608 + 4 + 0 + 7 + 23 + 3 + 7 + 7 + 6 = 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 95 ways as a sum of consecutive naturals, for example, 51062640 + ... + 51094128.

It is an arithmetic number, because the mean of its divisors is an integer number (11870470400).

Almost surely, 2^{1608407233776} is an apocalyptic number.

1608407233776 is a gapful number since it is divisible by the number (16) 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 1608407233776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848912896000).

1608407233776 is an abundant number, since it is smaller than the sum of its proper divisors (4089418558224).

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

1608407233776 is a wasteful number, since it uses less digits than its factorization.

1608407233776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31666 (or 31647 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 1608407233776 in words is "one trillion, six hundred eight billion, four hundred seven million, two hundred thirty-three thousand, seven hundred seventy-six".