1146625311104 has 128 divisors (see below), whose sum is σ = 2976816225600. Its totient is φ = 426926997504.

The previous prime is 1146625311089. The next prime is 1146625311119. The reversal of 1146625311104 is 4011135266411.

It is an interprime number because it is at equal distance from previous prime (1146625311089) and next prime (1146625311119).

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

It is a super-3 number, since 3×1146625311104³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2697269 + ... + 3093300.

Almost surely, 2^{1146625311104} is an apocalyptic number.

1146625311104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1146625311104 is an abundant number, since it is smaller than the sum of its proper divisors (1830190914496).

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

1146625311104 is a wasteful number, since it uses less digits than its factorization.

1146625311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790620 (or 5790608 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 1146625311104 in words is "one trillion, one hundred forty-six billion, six hundred twenty-five million, three hundred eleven thousand, one hundred four".