46357104249 has 45 divisors (see below), whose sum is σ = 70893523327. Its totient is φ = 30187763856.

The previous prime is 46357104169. The next prime is 46357104253. The reversal of 46357104249 is 94240175364.

The square root of 46357104249 is 215307.

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

46357104249 is a `hidden beast` number, since 4 + 635 + 7 + 1 + 0 + 4 + 2 + 4 + 9 = 666.

46357104249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37696940649 + 8660163600 = 194157^2 + 93060^2 .

It is not a de Polignac number, because 46357104249 - 2¹³ = 46357096057 is a prime.

It is a super-2 number, since 2×46357104249² (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 (46357102249) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 91074607 + ... + 91075115.

Almost surely, 2^46357104249 is an apocalyptic number.

46357104249 is the 215307-th square number.

46357104249 is the 107654-th centered octagonal number.

It is an amenable number.

46357104249 is a deficient number, since it is larger than the sum of its proper divisors (24536419078).

46357104249 is an frugal number, since it uses more digits than its factorization.

46357104249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 46357104249 in words is "forty-six billion, three hundred fifty-seven million, one hundred four thousand, two hundred forty-nine".