1146685413888 has 560 divisors, whose sum is σ = 3964903003776. Its totient is φ = 324367441920.

The previous prime is 1146685413871. The next prime is 1146685414037. The reversal of 1146685413888 is 8883145866411.

It is a happy number.

1146685413888 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 6 + 8 + 541 + 3 + 8 + 88 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 269109678 + ... + 269113938.

Almost surely, 2^{1146685413888} is an apocalyptic number.

1146685413888 is a gapful number since it is divisible by the number (18) 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 1146685413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982451501888).

1146685413888 is an abundant number, since it is smaller than the sum of its proper divisors (2818217589888).

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

1146685413888 is an frugal number, since it uses more digits than its factorization.

1146685413888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4376 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The spelling of 1146685413888 in words is "one trillion, one hundred forty-six billion, six hundred eighty-five million, four hundred thirteen thousand, eight hundred eighty-eight".