1934116025625 has 225 divisors, whose sum is σ = 4204600957161. Its totient is φ = 883166004000.

The previous prime is 1934116025617. The next prime is 1934116025671. The reversal of 1934116025625 is 5265206114391.

It is a happy number.

The square root of 1934116025625 is 1390725.

It is a perfect power (a square), and thus also a powerful number.

1934116025625 is a `hidden beast` number, since 1 + 9 + 3 + 4 + 1 + 16 + 0 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151634696409 + 1782481329216 = 389403^2 + 1335096^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 1934116025625 - 2³ = 1934116025617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2190391434 + ... + 2190392316.

Almost surely, 2^{1934116025625} is an apocalyptic number.

1934116025625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1934116025625 is the 1390725-th square number.

1934116025625 is the 695363-rd centered octagonal number.

It is an amenable number.

1934116025625 is an abundant number, since it is smaller than the sum of its proper divisors (2270484931536).

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

1934116025625 is an frugal number, since it uses more digits than its factorization.

1934116025625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1934116025625 in words is "one trillion, nine hundred thirty-four billion, one hundred sixteen million, twenty-five thousand, six hundred twenty-five".