1813625468928 has 1008 divisors, whose sum is σ = 6814834757640. Its totient is φ = 478067982336.

The previous prime is 1813625468923. The next prime is 1813625468939. The reversal of 1813625468928 is 8298645263181.

1813625468928 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 6 + 2 + 546 + 89 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×1813625468928³ (a number of 38 digits) contains 333 as substring.

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 (1813625468923) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 951034951 + ... + 951036857.

Almost surely, 2^{1813625468928} is an apocalyptic number.

1813625468928 is a gapful number since it is divisible by the number (18) 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 1813625468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407417378820).

1813625468928 is an abundant number, since it is smaller than the sum of its proper divisors (5001209288712).

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

1813625468928 is an equidigital number, since it uses as much as digits as its factorization.

1813625468928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1932 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 1813625468928 in words is "one trillion, eight hundred thirteen billion, six hundred twenty-five million, four hundred sixty-eight thousand, nine hundred twenty-eight".