834544048464 has 160 divisors (see below), whose sum is σ = 2771456782080. Its totient is φ = 238441086720.

The previous prime is 834544048451. The next prime is 834544048483. The reversal of 834544048464 is 464840445438.

834544048464 is a `hidden beast` number, since 8 + 34 + 544 + 0 + 4 + 8 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 834544048464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1458597 + ... + 1948484.

It is an arithmetic number, because the mean of its divisors is an integer number (17321604888).

Almost surely, 2^834544048464 is an apocalyptic number.

834544048464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

834544048464 is an abundant number, since it is smaller than the sum of its proper divisors (1936912733616).

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

834544048464 is an equidigital number, since it uses as much as digits as its factorization.

834544048464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407117 (or 3407093 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 54.

The spelling of 834544048464 in words is "eight hundred thirty-four billion, five hundred forty-four million, forty-eight thousand, four hundred sixty-four".