9495144264864 has 96 divisors (see below), whose sum is σ = 25602982868736. Its totient is φ = 3078954408960.

The previous prime is 9495144264857. The next prime is 9495144264967. The reversal of 9495144264864 is 4684624415949.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×9495144264864³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 9495144264795 and 9495144264804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19821454 + ... + 20294834.

It is an arithmetic number, because the mean of its divisors is an integer number (266697738216).

Almost surely, 2^{9495144264864} 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 9495144264864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801491434368).

9495144264864 is an abundant number, since it is smaller than the sum of its proper divisors (16107838603872).

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

9495144264864 is a wasteful number, since it uses less digits than its factorization.

9495144264864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479078 (or 479070 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 66.

The spelling of 9495144264864 in words is "nine trillion, four hundred ninety-five billion, one hundred forty-four million, two hundred sixty-four thousand, eight hundred sixty-four".