8101897445376 has 1008 divisors, whose sum is σ = 28517077075968. Its totient is φ = 2207239372800.

The previous prime is 8101897445363. The next prime is 8101897445377. The reversal of 8101897445376 is 6735447981018.

8101897445376 is a `hidden beast` number, since 8 + 1 + 0 + 1 + 8 + 97 + 4 + 4 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (8101897445377) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8175476241 + ... + 8175477231.

Almost surely, 2^{8101897445376} 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 8101897445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258538537984).

8101897445376 is an abundant number, since it is smaller than the sum of its proper divisors (20415179630592).

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

8101897445376 is a wasteful number, since it uses less digits than its factorization.

8101897445376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 8101897445376 in words is "eight trillion, one hundred one billion, eight hundred ninety-seven million, four hundred forty-five thousand, three hundred seventy-six".