101551169664 has 448 divisors, whose sum is σ = 350137391040. Its totient is φ = 28723673088.

The previous prime is 101551169627. The next prime is 101551169719. The reversal of 101551169664 is 466961155101.

101551169664 is a `hidden beast` number, since 1 + 0 + 1 + 551 + 1 + 6 + 96 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 69889962 + ... + 69891414.

Almost surely, 2^101551169664 is an apocalyptic number.

101551169664 is a gapful number since it is divisible by the number (14) 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 101551169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175068695520).

101551169664 is an abundant number, since it is smaller than the sum of its proper divisors (248586221376).

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

101551169664 is an equidigital number, since it uses as much as digits as its factorization.

101551169664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 101551169664 in words is "one hundred one billion, five hundred fifty-one million, one hundred sixty-nine thousand, six hundred sixty-four".