1566945245376 has 224 divisors, whose sum is σ = 5574287738880. Its totient is φ = 421363372032.

The previous prime is 1566945245347. The next prime is 1566945245399. The reversal of 1566945245376 is 6735425496651.

1566945245376 is a `hidden beast` number, since 1 + 5 + 6 + 6 + 94 + 5 + 2 + 4 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3604440 + ... + 4015703.

It is an arithmetic number, because the mean of its divisors is an integer number (24885213120).

Almost surely, 2^{1566945245376} is an apocalyptic number.

1566945245376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1566945245376 is an abundant number, since it is smaller than the sum of its proper divisors (4007342493504).

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

1566945245376 is a wasteful number, since it uses less digits than its factorization.

1566945245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620188 (or 7620172 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 63.

The spelling of 1566945245376 in words is "one trillion, five hundred sixty-six billion, nine hundred forty-five million, two hundred forty-five thousand, three hundred seventy-six".