1925605264464 has 120 divisors (see below), whose sum is σ = 6163106339520. Its totient is φ = 549795423744.

The previous prime is 1925605264463. The next prime is 1925605264547. The reversal of 1925605264464 is 4644625065291.

1925605264464 is a `hidden beast` number, since 1 + 9 + 2 + 5 + 605 + 26 + 4 + 4 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1925605264464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1925605264463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816004 + ... + 2125340.

It is an arithmetic number, because the mean of its divisors is an integer number (51359219496).

Almost surely, 2^{1925605264464} is an apocalyptic number.

1925605264464 is a gapful number since it is divisible by the number (14) 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 1925605264464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081553169760).

1925605264464 is an abundant number, since it is smaller than the sum of its proper divisors (4237501075056).

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

1925605264464 is a wasteful number, since it uses less digits than its factorization.

1925605264464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310817 (or 1310808 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 1925605264464 in words is "one trillion, nine hundred twenty-five billion, six hundred five million, two hundred sixty-four thousand, four hundred sixty-four".