1146270826464 has 48 divisors (see below), whose sum is σ = 3058288163280. Its totient is φ = 375826498560.

The previous prime is 1146270826447. The next prime is 1146270826499. The reversal of 1146270826464 is 4646280726411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97865629 + ... + 97877340.

It is an arithmetic number, because the mean of its divisors is an integer number (63714336735).

Almost surely, 2^{1146270826464} is an apocalyptic number.

It is an amenable number.

1146270826464 is an abundant number, since it is smaller than the sum of its proper divisors (1912017336816).

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

1146270826464 is a wasteful number, since it uses less digits than its factorization.

1146270826464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195743043 (or 195743035 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 1146270826464 in words is "one trillion, one hundred forty-six billion, two hundred seventy million, eight hundred twenty-six thousand, four hundred sixty-four".