1658617671312 has 480 divisors, whose sum is σ = 5525656621056. Its totient is φ = 454620902400.

The previous prime is 1658617671299. The next prime is 1658617671313. The reversal of 1658617671312 is 2131767168561.

1658617671312 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 617 + 6 + 7 + 1 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (1658617671313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 957077998 + ... + 957079730.

Almost surely, 2^{1658617671312} is an apocalyptic number.

1658617671312 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 1658617671312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762828310528).

1658617671312 is an abundant number, since it is smaller than the sum of its proper divisors (3867038949744).

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

1658617671312 is a wasteful number, since it uses less digits than its factorization.

1658617671312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2170 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 1658617671312 in words is "one trillion, six hundred fifty-eight billion, six hundred seventeen million, six hundred seventy-one thousand, three hundred twelve".