1617166512 has 160 divisors (see below), whose sum is σ = 5034677760. Its totient is φ = 494035200.

The previous prime is 1617166483. The next prime is 1617166517. The reversal of 1617166512 is 2156617161.

It is a happy number.

1617166512 is a `hidden beast` number, since 16 + 1 + 71 + 66 + 512 = 666.

It is a super-2 number, since 2×1617166512² = 5230455055068492288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1617166517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847063 + ... + 848969.

It is an arithmetic number, because the mean of its divisors is an integer number (31466736).

Almost surely, 2^1617166512 is an apocalyptic number.

1617166512 is a gapful number since it is divisible by the number (12) 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 1617166512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517338880).

1617166512 is an abundant number, since it is smaller than the sum of its proper divisors (3417511248).

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

1617166512 is a wasteful number, since it uses less digits than its factorization.

1617166512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2076 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 1617166512 is about 40214.0089023713. The cubic root of 1617166512 is about 1173.7751562962.

The spelling of 1617166512 in words is "one billion, six hundred seventeen million, one hundred sixty-six thousand, five hundred twelve".