1828465464672 has 1440 divisors, whose sum is σ = 7202454336000. Its totient is φ = 453662415360.

The previous prime is 1828465464667. The next prime is 1828465464677. The reversal of 1828465464672 is 2764645648281.

It is a happy number.

1828465464672 is a `hidden beast` number, since 1 + 8 + 2 + 8 + 46 + 546 + 46 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1828465464667) and next prime (1828465464677).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828465464677) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2474242479 + ... + 2474243217.

It is an arithmetic number, because the mean of its divisors is an integer number (5001704400).

Almost surely, 2^{1828465464672} is an apocalyptic number.

1828465464672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828465464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601227168000).

1828465464672 is an abundant number, since it is smaller than the sum of its proper divisors (5373988871328).

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

1828465464672 is a wasteful number, since it uses less digits than its factorization.

1828465464672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 785 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 1828465464672 in words is "one trillion, eight hundred twenty-eight billion, four hundred sixty-five million, four hundred sixty-four thousand, six hundred seventy-two".