162686690460 has 960 divisors, whose sum is σ = 629403667200. Its totient is φ = 35115171840.

The previous prime is 162686690449. The next prime is 162686690477. The reversal of 162686690460 is 64096686261.

162686690460 is a `hidden beast` number, since 1 + 62 + 68 + 6 + 69 + 0 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 162686690397 and 162686690406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 842936124 + ... + 842936316.

It is an arithmetic number, because the mean of its divisors is an integer number (655628820).

Almost surely, 2^162686690460 is an apocalyptic number.

162686690460 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 162686690460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314701833600).

162686690460 is an abundant number, since it is smaller than the sum of its proper divisors (466716976740).

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

162686690460 is a wasteful number, since it uses less digits than its factorization.

162686690460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 162686690460 in words is "one hundred sixty-two billion, six hundred eighty-six million, six hundred ninety thousand, four hundred sixty".