1146613999104 has 1080 divisors, whose sum is σ = 4221311021928. Its totient is φ = 309765980160.

The previous prime is 1146613999103. The next prime is 1146613999109. The reversal of 1146613999104 is 4019993166411.

1146613999104 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 613 + 9 + 9 + 9 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146613999103) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2200794364 + ... + 2200794884.

Almost surely, 2^{1146613999104} is an apocalyptic number.

1146613999104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146613999104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110655510964).

1146613999104 is an abundant number, since it is smaller than the sum of its proper divisors (3074697022824).

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

1146613999104 is an frugal number, since it uses more digits than its factorization.

1146613999104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1146613999104 in words is "one trillion, one hundred forty-six billion, six hundred thirteen million, nine hundred ninety-nine thousand, one hundred four".