1146615634560 has 128 divisors (see below), whose sum is σ = 3987095348160. Its totient is φ = 277967421440.

The previous prime is 1146615634477. The next prime is 1146615634573. The reversal of 1146615634560 is 654365166411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27124137 + ... + 27166376.

Almost surely, 2^{1146615634560} is an apocalyptic number.

1146615634560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146615634560 is an abundant number, since it is smaller than the sum of its proper divisors (2840479713600).

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

1146615634560 is a wasteful number, since it uses less digits than its factorization.

1146615634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54290546 (or 54290534 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 1146615634560 in words is "one trillion, one hundred forty-six billion, six hundred fifteen million, six hundred thirty-four thousand, five hundred sixty".