46153565564121 has 6 divisors (see below), whose sum is σ = 66666261370410. Its totient is φ = 30769043709408.

The previous prime is 46153565564081. The next prime is 46153565564159. The reversal of 46153565564121 is 12146556535164.

46153565564121 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 3 + 5 + 65 + 564 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24525820046025 + 21627745518096 = 4952355^2 + 4650564^2 .

It is not a de Polignac number, because 46153565564121 - 2¹⁰ = 46153565563097 is a prime.

It is a super-2 number, since 2×46153565564121² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46153565562121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2564086975776 + ... + 2564086975793.

It is an arithmetic number, because the mean of its divisors is an integer number (11111043561735).

Almost surely, 2^{46153565564121} is an apocalyptic number.

It is an amenable number.

46153565564121 is a deficient number, since it is larger than the sum of its proper divisors (20512695806289).

46153565564121 is a wasteful number, since it uses less digits than its factorization.

46153565564121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128173951575 (or 5128173951572 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 46153565564121 in words is "forty-six trillion, one hundred fifty-three billion, five hundred sixty-five million, five hundred sixty-four thousand, one hundred twenty-one".