8738119272961 has 9 divisors (see below), whose sum is σ = 9462028753731. Its totient is φ = 8065920779592.

The previous prime is 8738119272893. The next prime is 8738119272983. The reversal of 8738119272961 is 1692729118378.

The square root of 8738119272961 is 2956031.

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

It can be written as a sum of positive squares in only one way, i.e., 1292621194225 + 7445498078736 = 1136935^2 + 2728644^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8738119272961 is a prime.

It is a super-3 number, since 3×8738119272961³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8738119272893 and 8738119272902.

It is not an unprimeable number, because it can be changed into a prime (8738119272361) 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, 38314710 + ... + 38542096.

Almost surely, 2^{8738119272961} is an apocalyptic number.

8738119272961 is the 2956031-st square number.

8738119272961 is the 1478016-th centered octagonal number.

It is an amenable number.

8738119272961 is a deficient number, since it is larger than the sum of its proper divisors (723909480770).

8738119272961 is an frugal number, since it uses more digits than its factorization.

8738119272961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454800 (or 227400 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 64.

Multiplying 8738119272961 by its sum of digits (64), we get a square (559239633469504 = 23648248²).

The spelling of 8738119272961 in words is "eight trillion, seven hundred thirty-eight billion, one hundred nineteen million, two hundred seventy-two thousand, nine hundred sixty-one".