8457737751961 has 27 divisors (see below), whose sum is σ = 8853309944661. Its totient is φ = 8079660557304.

The previous prime is 8457737751949. The next prime is 8457737752001. The reversal of 8457737751961 is 1691577377548.

The square root of 8457737751961 is 2908219.

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

It is not a de Polignac number, because 8457737751961 - 2¹⁷ = 8457737620889 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8457737751901) 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, 5877509880 + ... + 5877511318.

Almost surely, 2^{8457737751961} is an apocalyptic number.

8457737751961 is the 2908219-th square number.

8457737751961 is the 1454110-th centered octagonal number.

It is an amenable number.

8457737751961 is a deficient number, since it is larger than the sum of its proper divisors (395572192700).

8457737751961 is an frugal number, since it uses more digits than its factorization.

8457737751961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 1529 counting only the distinct ones).

The product of its digits is 311169600, while the sum is 70.

The spelling of 8457737751961 in words is "eight trillion, four hundred fifty-seven billion, seven hundred thirty-seven million, seven hundred fifty-one thousand, nine hundred sixty-one".