4654137449025 has 135 divisors (see below), whose sum is σ = 8701109436019. Its totient is φ = 2459373300000.

The previous prime is 4654137448999. The next prime is 4654137449029. The reversal of 4654137449025 is 5209447314564.

The square root of 4654137449025 is 2157345.

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

4654137449025 is a `hidden beast` number, since 4 + 6 + 54 + 13 + 74 + 490 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1675489481649 + 2978647967376 = 1294407^2 + 1725876^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 4654137449025 - 2¹⁹ = 4654136924737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4654137449029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 18542380150 + ... + 18542380400.

Almost surely, 2^{4654137449025} is an apocalyptic number.

4654137449025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4654137449025 is the 2157345-th square number.

4654137449025 is the 1078673-rd centered octagonal number.

It is an amenable number.

4654137449025 is a deficient number, since it is larger than the sum of its proper divisors (4046971986994).

4654137449025 is an frugal number, since it uses more digits than its factorization.

4654137449025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4654137449025 in words is "four trillion, six hundred fifty-four billion, one hundred thirty-seven million, four hundred forty-nine thousand, twenty-five".