1146559174160 has 40 divisors (see below), whose sum is σ = 2673388397400. Its totient is φ = 457309550592.

The previous prime is 1146559174157. The next prime is 1146559174183. The reversal of 1146559174160 is 614719556411.

It can be written as a sum of positive squares in 4 ways, for example, as 244910173456 + 901649000704 = 494884^2 + 949552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1146559174160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1146559174099 and 1146559174108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20505017 + ... + 20560856.

It is an arithmetic number, because the mean of its divisors is an integer number (66834709935).

Almost surely, 2^{1146559174160} is an apocalyptic number.

1146559174160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146559174160 is an abundant number, since it is smaller than the sum of its proper divisors (1526829223240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1146559174160 is a wasteful number, since it uses less digits than its factorization.

1146559174160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41066235 (or 41066229 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 50.

The spelling of 1146559174160 in words is "one trillion, one hundred forty-six billion, five hundred fifty-nine million, one hundred seventy-four thousand, one hundred sixty".