1682948320146 has 24 divisors (see below), whose sum is σ = 3658833048780. Its totient is φ = 559068154656.

The previous prime is 1682948320133. The next prime is 1682948320177. The reversal of 1682948320146 is 6410238492861.

1682948320146 is a `hidden beast` number, since 16 + 8 + 2 + 9 + 483 + 2 + 0 + 146 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1634334684921 + 48613635225 = 1278411^2 + 220485^2 .

It is a super-2 number, since 2×1682948320146² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1682948320092 and 1682948320101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159546141 + ... + 159556688.

Almost surely, 2^{1682948320146} is an apocalyptic number.

1682948320146 is an abundant number, since it is smaller than the sum of its proper divisors (1975884728634).

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

1682948320146 is a wasteful number, since it uses less digits than its factorization.

1682948320146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319103130 (or 319103127 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1682948320146 in words is "one trillion, six hundred eighty-two billion, nine hundred forty-eight million, three hundred twenty thousand, one hundred forty-six".