37151450849601 has 27 divisors (see below), whose sum is σ = 58985497056577. Its totient is φ = 22515908913960.

The previous prime is 37151450849567. The next prime is 37151450849621. The reversal of 37151450849601 is 10694805415173.

The square root of 37151450849601 is 6095199.

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

37151450849601 is a `hidden beast` number, since 3 + 7 + 1 + 5 + 145 + 0 + 8 + 496 + 0 + 1 = 666.

37151450849601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-37151450849601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37151450849621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 201049216 + ... + 201233918.

Almost surely, 2^{37151450849601} is an apocalyptic number.

37151450849601 is the 6095199-th square number.

37151450849601 is the 3047600-th centered octagonal number.

It is an amenable number.

37151450849601 is a deficient number, since it is larger than the sum of its proper divisors (21834046206976).

37151450849601 is an frugal number, since it uses more digits than its factorization.

37151450849601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369434 (or 184717 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 37151450849601 in words is "thirty-seven trillion, one hundred fifty-one billion, four hundred fifty million, eight hundred forty-nine thousand, six hundred one".