96401473809408 has 880 divisors, whose sum is σ = 306610746552000. Its totient is φ = 30106745044992.

The previous prime is 96401473809401. The next prime is 96401473809437. The reversal of 96401473809408 is 80490837410469.

96401473809408 is a `hidden beast` number, since 9 + 6 + 4 + 0 + 147 + 3 + 80 + 9 + 408 = 666.

It is a super-2 number, since 2×96401473809408² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96401473809401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18506711508 + ... + 18506716716.

It is an arithmetic number, because the mean of its divisors is an integer number (348421302900).

Almost surely, 2^{96401473809408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96401473809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153305373276000).

96401473809408 is an abundant number, since it is smaller than the sum of its proper divisors (210209272742592).

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

96401473809408 is a wasteful number, since it uses less digits than its factorization.

96401473809408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 96401473809408 in words is "ninety-six trillion, four hundred one billion, four hundred seventy-three million, eight hundred nine thousand, four hundred eight".