4657166137401 has 16 divisors (see below), whose sum is σ = 6279432050880. Its totient is φ = 3069840012800.

The previous prime is 4657166137367. The next prime is 4657166137423. The reversal of 4657166137401 is 1047316617564.

It is a cyclic number.

It is not a de Polignac number, because 4657166137401 - 2²² = 4657161943097 is a prime.

It is a super-2 number, since 2×4657166137401² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (4657166137601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21412801 + ... + 21629201.

It is an arithmetic number, because the mean of its divisors is an integer number (392464503180).

Almost surely, 2^{4657166137401} is an apocalyptic number.

It is an amenable number.

4657166137401 is a deficient number, since it is larger than the sum of its proper divisors (1622265913479).

4657166137401 is a wasteful number, since it uses less digits than its factorization.

4657166137401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297096.

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 4657166137401 in words is "four trillion, six hundred fifty-seven billion, one hundred sixty-six million, one hundred thirty-seven thousand, four hundred one".