38142480601 has 15 divisors (see below), whose sum is σ = 40336049103. Its totient is φ = 36068188680.

The previous prime is 38142480599. The next prime is 38142480613. The reversal of 38142480601 is 10608424183.

The square root of 38142480601 is 195301.

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

It can be written as a sum of positive squares in only one way, i.e., 15153856201 + 22988624400 = 123101^2 + 151620^2 .

It is not a de Polignac number, because 38142480601 - 2¹ = 38142480599 is a prime.

It is a super-2 number, since 2×38142480601² (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 (38142480671) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 70503391 + ... + 70503931.

Almost surely, 2^38142480601 is an apocalyptic number.

38142480601 is the 195301-st square number.

38142480601 is the 97651-st centered octagonal number.

It is an amenable number.

38142480601 is a deficient number, since it is larger than the sum of its proper divisors (2193568502).

38142480601 is an frugal number, since it uses more digits than its factorization.

38142480601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 38142480601 in words is "thirty-eight billion, one hundred forty-two million, four hundred eighty thousand, six hundred one".