37118004748261 has 8 divisors (see below), whose sum is σ = 37126403157848. Its totient is φ = 37109606976000.

The previous prime is 37118004748217. The next prime is 37118004748267. The reversal of 37118004748261 is 16284740081173.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 201808491361 + 36916196256900 = 449231^2 + 6075870^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37118004748261 - 2⁷ = 37118004748133 is a prime.

It is a super-2 number, since 2×37118004748261² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37118004748199 and 37118004748208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37118004748267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127777021 + ... + 128067181.

It is an arithmetic number, because the mean of its divisors is an integer number (4640800394731).

Almost surely, 2^{37118004748261} is an apocalyptic number.

It is an amenable number.

37118004748261 is a deficient number, since it is larger than the sum of its proper divisors (8398409587).

37118004748261 is a wasteful number, since it uses less digits than its factorization.

37118004748261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318663.

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 37118004748261 in words is "thirty-seven trillion, one hundred eighteen billion, four million, seven hundred forty-eight thousand, two hundred sixty-one".