1146338052664 has 64 divisors (see below), whose sum is σ = 2506922712000. Its totient is φ = 491218624512.

The previous prime is 1146338052611. The next prime is 1146338052679. The reversal of 1146338052664 is 4662508336411.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22675864 + ... + 22726360.

It is an arithmetic number, because the mean of its divisors is an integer number (39170667375).

Almost surely, 2^{1146338052664} is an apocalyptic number.

1146338052664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1146338052664 is an abundant number, since it is smaller than the sum of its proper divisors (1360584659336).

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

1146338052664 is an equidigital number, since it uses as much as digits as its factorization.

1146338052664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58797 (or 58779 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 1146338052664 in words is "one trillion, one hundred forty-six billion, three hundred thirty-eight million, fifty-two thousand, six hundred sixty-four".