100170968369472 has 1344 divisors, whose sum is σ = 404841434054400. Its totient is φ = 24016524779520.

The previous prime is 100170968369431. The next prime is 100170968369477. The reversal of 100170968369472 is 274963869071001.

100170968369472 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 70 + 9 + 68 + 36 + 9 + 472 = 666.

100170968369472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100170968369477) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2046243748 + ... + 2046292700.

It is an arithmetic number, because the mean of its divisors is an integer number (301221305100).

Almost surely, 2^{100170968369472} is an apocalyptic number.

100170968369472 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 100170968369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202420717027200).

100170968369472 is an abundant number, since it is smaller than the sum of its proper divisors (304670465684928).

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

100170968369472 is a wasteful number, since it uses less digits than its factorization.

100170968369472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49038 (or 48989 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 100170968369472 in words is "one hundred trillion, one hundred seventy billion, nine hundred sixty-eight million, three hundred sixty-nine thousand, four hundred seventy-two".