157748802116481 has 27 divisors (see below), whose sum is σ = 230642322925027. Its totient is φ = 103896749617440.

The previous prime is 157748802116461. The next prime is 157748802116519. The reversal of 157748802116481 is 184611208847751.

It is a happy number.

The square root of 157748802116481 is 12559809.

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

157748802116481 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 48 + 80 + 21 + 16 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138368380734081 + 19380421382400 = 11763009^2 + 4402320^2 .

It is not a de Polignac number, because 157748802116481 - 2⁵ = 157748802116449 is a prime.

It is a super-2 number, since 2×157748802116481² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157748802116461) 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, 3127367221 + ... + 3127417661.

Almost surely, 2^{157748802116481} is an apocalyptic number.

157748802116481 is the 12559809-th square number.

157748802116481 is the 6279905-th centered octagonal number.

It is an amenable number.

157748802116481 is a deficient number, since it is larger than the sum of its proper divisors (72893520808546).

157748802116481 is an frugal number, since it uses more digits than its factorization.

157748802116481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101054 (or 50527 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 157748802116481 in words is "one hundred fifty-seven trillion, seven hundred forty-eight billion, eight hundred two million, one hundred sixteen thousand, four hundred eighty-one".