1606637051136 has 1152 divisors, whose sum is σ = 5548115865600. Its totient is φ = 454732185600.

The previous prime is 1606637051087. The next prime is 1606637051147. The reversal of 1606637051136 is 6311507366061.

It is a happy number.

1606637051136 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 63 + 70 + 511 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1606637051136² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1606637051091 and 1606637051100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8975625895 + ... + 8975626073.

It is an arithmetic number, because the mean of its divisors is an integer number (4816072800).

Almost surely, 2^{1606637051136} is an apocalyptic number.

1606637051136 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 1606637051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774057932800).

1606637051136 is an abundant number, since it is smaller than the sum of its proper divisors (3941478814464).

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

1606637051136 is a wasteful number, since it uses less digits than its factorization.

1606637051136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 1606637051136 in words is "one trillion, six hundred six billion, six hundred thirty-seven million, fifty-one thousand, one hundred thirty-six".