1146130620657 has 64 divisors (see below), whose sum is σ = 1746202752000. Its totient is φ = 662477633280.

The previous prime is 1146130620647. The next prime is 1146130620667. The reversal of 1146130620657 is 7560260316411.

It is an interprime number because it is at equal distance from previous prime (1146130620647) and next prime (1146130620667).

It is not a de Polignac number, because 1146130620657 - 2³⁴ = 1128950751473 is a prime.

It is a super-2 number, since 2×1146130620657² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1146130620637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25118818 + ... + 25164404.

It is an arithmetic number, because the mean of its divisors is an integer number (27284418000).

Almost surely, 2^{1146130620657} is an apocalyptic number.

It is an amenable number.

1146130620657 is a deficient number, since it is larger than the sum of its proper divisors (600072131343).

1146130620657 is a wasteful number, since it uses less digits than its factorization.

1146130620657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46046.

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1146130620657 in words is "one trillion, one hundred forty-six billion, one hundred thirty million, six hundred twenty thousand, six hundred fifty-seven".