46025138977489 has 27 divisors (see below), whose sum is σ = 53746240408401. Its totient is φ = 39298329813120.

The previous prime is 46025138977481. The next prime is 46025138977513. The reversal of 46025138977489 is 98477983152064.

The square root of 46025138977489 is 6784183.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11903652327889 + 34121486649600 = 3450167^2 + 5841360^2 .

It is not a de Polignac number, because 46025138977489 - 2³ = 46025138977481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46025138977481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13344486237 + ... + 13344489685.

It is a 1-persistent number, because it is pandigital, but 2⋅46025138977489 = 92050277954978 is not.

Almost surely, 2^{46025138977489} is an apocalyptic number.

46025138977489 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

46025138977489 is the 6784183-rd square number.

46025138977489 is the 3392092-nd centered octagonal number.

It is an amenable number.

46025138977489 is a deficient number, since it is larger than the sum of its proper divisors (7721101430912).

46025138977489 is an frugal number, since it uses more digits than its factorization.

46025138977489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7474 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 73.

The spelling of 46025138977489 in words is "forty-six trillion, twenty-five billion, one hundred thirty-eight million, nine hundred seventy-seven thousand, four hundred eighty-nine".