1682016156036 has 120 divisors (see below), whose sum is σ = 4544786252160. Its totient is φ = 542131092288.

The previous prime is 1682016156031. The next prime is 1682016156043. The reversal of 1682016156036 is 6306516102861.

1682016156036 is a `hidden beast` number, since 1 + 6 + 8 + 20 + 1 + 6 + 15 + 603 + 6 = 666.

It is a super-2 number, since 2×1682016156036² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1682016155982 and 1682016156000.

It is not an unprimeable number, because it can be changed into a prime (1682016156031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 598530 + ... + 1929318.

It is an arithmetic number, because the mean of its divisors is an integer number (37873218768).

Almost surely, 2^{1682016156036} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682016156036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272393126080).

1682016156036 is an abundant number, since it is smaller than the sum of its proper divisors (2862770096124).

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

1682016156036 is a wasteful number, since it uses less digits than its factorization.

1682016156036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330935 (or 1330924 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1682016156036 in words is "one trillion, six hundred eighty-two billion, sixteen million, one hundred fifty-six thousand, thirty-six".