45152096859961 has 81 divisors (see below), whose sum is σ = 58328372148039. Its totient is φ = 34834048704000.

The previous prime is 45152096859953. The next prime is 45152096860007. The reversal of 45152096859961 is 16995869025154.

The square root of 45152096859961 is 6719531.

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

It can be written as a sum of positive squares in 13 ways, for example, as 31340794941225 + 13811301918736 = 5598285^2 + 3716356^2 .

It is not a de Polignac number, because 45152096859961 - 2³ = 45152096859953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45152096859941) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25070569261 + ... + 25070571061.

Almost surely, 2^{45152096859961} is an apocalyptic number.

45152096859961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

45152096859961 is the 6719531-st square number.

45152096859961 is the 3359766-th centered octagonal number.

It is an amenable number.

45152096859961 is a deficient number, since it is larger than the sum of its proper divisors (13176275288078).

45152096859961 is an frugal number, since it uses more digits than its factorization.

45152096859961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 70.

The spelling of 45152096859961 in words is "forty-five trillion, one hundred fifty-two billion, ninety-six million, eight hundred fifty-nine thousand, nine hundred sixty-one".