8146497737664 has 1344 divisors, whose sum is σ = 29002533450240. Its totient is φ = 2254783703040.

The previous prime is 8146497737659. The next prime is 8146497737669. The reversal of 8146497737664 is 4667377946418.

8146497737664 is a `hidden beast` number, since 8 + 1 + 4 + 6 + 497 + 7 + 3 + 76 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (8146497737659) and next prime (8146497737669).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8146497737592 and 8146497737601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8146497737669) 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, 35887655119 + ... + 35887655345.

It is an arithmetic number, because the mean of its divisors is an integer number (21579265960).

Almost surely, 2^{8146497737664} 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 8146497737664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14501266725120).

8146497737664 is an abundant number, since it is smaller than the sum of its proper divisors (20856035712576).

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

8146497737664 is a wasteful number, since it uses less digits than its factorization.

8146497737664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 419 counting only the distinct ones).

The product of its digits is 1024192512, while the sum is 72.

The spelling of 8146497737664 in words is "eight trillion, one hundred forty-six billion, four hundred ninety-seven million, seven hundred thirty-seven thousand, six hundred sixty-four".