1552438748961 has 21 divisors (see below), whose sum is σ = 2327643790401. Its totient is φ = 1034936738532.

The previous prime is 1552438748929. The next prime is 1552438748969. The reversal of 1552438748961 is 1698478342551.

It is a happy number.

The square root of 1552438748961 is 1245969.

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

1552438748961 is a `hidden beast` number, since 1 + 5 + 52 + 43 + 8 + 7 + 489 + 61 = 666.

It is not a de Polignac number, because 1552438748961 - 2⁵ = 1552438748929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1552438748969) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 33618090 + ... + 33664236.

Almost surely, 2^{1552438748961} is an apocalyptic number.

1552438748961 is the 1245969-th square number.

1552438748961 is the 622985-th centered octagonal number.

It is an amenable number.

1552438748961 is a deficient number, since it is larger than the sum of its proper divisors (775205041440).

1552438748961 is an frugal number, since it uses more digits than its factorization.

1552438748961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92312 (or 46150 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 1552438748961 in words is "one trillion, five hundred fifty-two billion, four hundred thirty-eight million, seven hundred forty-eight thousand, nine hundred sixty-one".