2149076836729 has 9 divisors (see below), whose sum is σ = 2186207228037. Its totient is φ = 2112566779164.

The previous prime is 2149076836727. The next prime is 2149076836769. The reversal of 2149076836729 is 9276386709412.

The square root of 2149076836729 is 1465973.

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

It is not a de Polignac number, because 2149076836729 - 2¹ = 2149076836727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2149076836723) 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, 86479984 + ... + 86504830.

Almost surely, 2^{2149076836729} is an apocalyptic number.

2149076836729 is the 1465973-rd square number.

2149076836729 is the 732987-th centered octagonal number.

It is an amenable number.

2149076836729 is a deficient number, since it is larger than the sum of its proper divisors (37130391308).

2149076836729 is an frugal number, since it uses more digits than its factorization.

2149076836729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49812 (or 24906 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

Multiplying 2149076836729 by its sum of digits (64), we get a square (137540917550656 = 11727784²).

The spelling of 2149076836729 in words is "two trillion, one hundred forty-nine billion, seventy-six million, eight hundred thirty-six thousand, seven hundred twenty-nine".