45971219281 has 9 divisors (see below), whose sum is σ = 49782504369. Its totient is φ = 42432398736.

The previous prime is 45971219269. The next prime is 45971219339. The reversal of 45971219281 is 18291217954.

The square root of 45971219281 is 214409.

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 32993452881 + 12977766400 = 181641^2 + 113920^2 .

It is not a de Polignac number, because 45971219281 - 2⁷ = 45971219153 is a prime.

It is a super-2 number, since 2×45971219281² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45971211281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2779071 + ... + 2795563.

Almost surely, 2^45971219281 is an apocalyptic number.

45971219281 is the 214409-th square number.

45971219281 is the 107205-th centered octagonal number.

It is an amenable number.

45971219281 is a deficient number, since it is larger than the sum of its proper divisors (3811285088).

45971219281 is an frugal number, since it uses more digits than its factorization.

45971219281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33012 (or 16506 counting only the distinct ones).

The product of its digits is 362880, while the sum is 49.

Multiplying 45971219281 by its sum of digits (49), we get a square (2252589744769 = 1500863²).

The spelling of 45971219281 in words is "forty-five billion, nine hundred seventy-one million, two hundred nineteen thousand, two hundred eighty-one".