49922010933601 has 27 divisors (see below), whose sum is σ = 52070700725433. Its totient is φ = 47860346741760.

The previous prime is 49922010933563. The next prime is 49922010933617. The reversal of 49922010933601 is 10633901022994.

The square root of 49922010933601 is 7065551.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3561708788001 + 46360302145600 = 1887249^2 + 6808840^2 .

It is not a de Polignac number, because 49922010933601 - 2²³ = 49922002544993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49922010913601) 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, 24750624145 + ... + 24750626161.

Almost surely, 2^{49922010933601} is an apocalyptic number.

49922010933601 is the 7065551-st square number.

49922010933601 is the 3532776-th centered octagonal number.

It is an amenable number.

49922010933601 is a deficient number, since it is larger than the sum of its proper divisors (2148689791832).

49922010933601 is an frugal number, since it uses more digits than its factorization.

49922010933601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The spelling of 49922010933601 in words is "forty-nine trillion, nine hundred twenty-two billion, ten million, nine hundred thirty-three thousand, six hundred one".