1658974665672 has 80 divisors (see below), whose sum is σ = 4891226511600. Its totient is φ = 523886732640.

The previous prime is 1658974665671. The next prime is 1658974665709. The reversal of 1658974665672 is 2765664798561.

1658974665672 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 97 + 466 + 5 + 6 + 72 = 666.

It is a super-3 number, since 3×1658974665672³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1658974665672.

It is not an unprimeable number, because it can be changed into a prime (1658974665671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67359954 + ... + 67384577.

It is an arithmetic number, because the mean of its divisors is an integer number (61140331395).

Almost surely, 2^{1658974665672} is an apocalyptic number.

1658974665672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1658974665672 is an abundant number, since it is smaller than the sum of its proper divisors (3232251845928).

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

1658974665672 is a wasteful number, since it uses less digits than its factorization.

1658974665672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134744568 (or 134744555 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 1658974665672 in words is "one trillion, six hundred fifty-eight billion, nine hundred seventy-four million, six hundred sixty-five thousand, six hundred seventy-two".