968576191401 has 192 divisors, whose sum is σ = 1730858680320. Its totient is φ = 476706746880.

The previous prime is 968576191399. The next prime is 968576191433. The reversal of 968576191401 is 104191675869.

It is a happy number.

968576191401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 968576191401 - 2¹ = 968576191399 is a prime.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (968576191201) 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, 201239271 + ... + 201244083.

It is an arithmetic number, because the mean of its divisors is an integer number (9014888960).

Almost surely, 2^968576191401 is an apocalyptic number.

968576191401 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

968576191401 is a deficient number, since it is larger than the sum of its proper divisors (762282488919).

968576191401 is a wasteful number, since it uses less digits than its factorization.

968576191401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4996 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 968576191401 in words is "nine hundred sixty-eight billion, five hundred seventy-six million, one hundred ninety-one thousand, four hundred one".