1146516261 has 96 divisors (see below), whose sum is σ = 1875363840. Its totient is φ = 619829760.

The previous prime is 1146516257. The next prime is 1146516263. The reversal of 1146516261 is 1626156411.

It is not a de Polignac number, because 1146516261 - 2² = 1146516257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146516263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17112150 + ... + 17112216.

It is an arithmetic number, because the mean of its divisors is an integer number (19535040).

Almost surely, 2^1146516261 is an apocalyptic number.

1146516261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1146516261 is a deficient number, since it is larger than the sum of its proper divisors (728847579).

1146516261 is a wasteful number, since it uses less digits than its factorization.

1146516261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 1146516261 is about 33860.2460268676. The cubic root of 1146516261 is about 1046.6305477391.

The spelling of 1146516261 in words is "one billion, one hundred forty-six million, five hundred sixteen thousand, two hundred sixty-one".