1914307452225 has 81 divisors (see below), whose sum is σ = 3988833912297. Its totient is φ = 875045566080.

The previous prime is 1914307452173. The next prime is 1914307452247. The reversal of 1914307452225 is 5222547034191.

The square root of 1914307452225 is 1383585.

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

1914307452225 is a `hidden beast` number, since 1 + 9 + 1 + 4 + 30 + 74 + 522 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58110129 + 1914249342096 = 7623^2 + 1383564^2 .

It is not a de Polignac number, because 1914307452225 - 2⁷ = 1914307452097 is a prime.

It is a super-3 number, since 3×1914307452225³ (a number of 38 digits) contains 333 as substring.

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 80 ways as a sum of consecutive naturals, for example, 145269837 + ... + 145283013.

Almost surely, 2^{1914307452225} is an apocalyptic number.

1914307452225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1914307452225 is the 1383585-th square number.

1914307452225 is the 691793-rd centered octagonal number.

It is an amenable number.

1914307452225 is an abundant number, since it is smaller than the sum of its proper divisors (2074526460072).

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

1914307452225 is an frugal number, since it uses more digits than its factorization.

1914307452225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26384 (or 13192 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1914307452225 in words is "one trillion, nine hundred fourteen billion, three hundred seven million, four hundred fifty-two thousand, two hundred twenty-five".