201832873894656 has 144 divisors (see below), whose sum is σ = 610735672821120. Its totient is φ = 65713028613120.

The previous prime is 201832873894627. The next prime is 201832873894657. The reversal of 201832873894656 is 656498378238102.

201832873894656 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 3 + 2 + 87 + 3 + 89 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×201832873894656² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (201832873894657) 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 15 ways as a sum of consecutive naturals, for example, 339241830 + ... + 339836261.

It is a 2-persistent number, because it is pandigital, and so is 2⋅201832873894656 = 403665747789312, but 3⋅201832873894656 = 605498621683968 is not.

Almost surely, 2^{201832873894656} is an apocalyptic number.

It is an amenable number.

201832873894656 is an abundant number, since it is smaller than the sum of its proper divisors (408902798926464).

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

201832873894656 is an equidigital number, since it uses as much as digits as its factorization.

201832873894656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679078159 (or 679078139 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 201832873894656 in words is "two hundred one trillion, eight hundred thirty-two billion, eight hundred seventy-three million, eight hundred ninety-four thousand, six hundred fifty-six".