49978551341601 has 27 divisors (see below), whose sum is σ = 72335419098033. Its totient is φ = 33252622865640.

The previous prime is 49978551341581. The next prime is 49978551341611. The reversal of 49978551341601 is 10614315587994.

The square root of 49978551341601 is 7069551.

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

49978551341601 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 8 + 5 + 5 + 13 + 4 + 1 + 601 = 666.

It is not a de Polignac number, because 49978551341601 - 2¹⁹ = 49978550817313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49978551341611) 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, 12110138800 + ... + 12110142926.

Almost surely, 2^{49978551341601} is an apocalyptic number.

49978551341601 is the 7069551-st square number.

49978551341601 is the 3534776-th centered octagonal number.

It is an amenable number.

49978551341601 is a deficient number, since it is larger than the sum of its proper divisors (22356867756432).

49978551341601 is an frugal number, since it uses more digits than its factorization.

49978551341601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9402 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 49978551341601 in words is "forty-nine trillion, nine hundred seventy-eight billion, five hundred fifty-one million, three hundred forty-one thousand, six hundred one".