12345145776 has 60 divisors (see below), whose sum is σ = 34640574280. Its totient is φ = 4104172800.

The previous prime is 12345145763. The next prime is 12345145789. The reversal of 12345145776 is 67754154321.

12345145776 is a `hidden beast` number, since 1 + 23 + 4 + 51 + 4 + 577 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12345145763) and next prime (12345145789).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58525 + ... + 167676.

Almost surely, 2^12345145776 is an apocalyptic number.

12345145776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12345145776 is an abundant number, since it is smaller than the sum of its proper divisors (22295428504).

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

12345145776 is a wasteful number, since it uses less digits than its factorization.

12345145776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226594 (or 226585 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 12345145776 in words is "twelve billion, three hundred forty-five million, one hundred forty-five thousand, seven hundred seventy-six".