54416292529 has 9 divisors (see below), whose sum is σ = 54642335097. Its totient is φ = 54191184084.

The previous prime is 54416292499. The next prime is 54416292563. The reversal of 54416292529 is 92529261445.

It is a happy number.

The square root of 54416292529 is 233273.

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

It is not a de Polignac number, because 54416292529 - 2¹³ = 54416284337 is a prime.

It is a super-2 number, since 2×54416292529² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54416292629) 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, 111737524 + ... + 111738010.

Almost surely, 2^54416292529 is an apocalyptic number.

54416292529 is the 233273-rd square number.

54416292529 is the 116637-th centered octagonal number.

It is an amenable number.

54416292529 is a deficient number, since it is larger than the sum of its proper divisors (226042568).

54416292529 is an frugal number, since it uses more digits than its factorization.

54416292529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 966 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 49.

Multiplying 54416292529 by its sum of digits (49), we get a square (2666398333921 = 1632911²).

The spelling of 54416292529 in words is "fifty-four billion, four hundred sixteen million, two hundred ninety-two thousand, five hundred twenty-nine".