1146482235360 has 864 divisors, whose sum is σ = 4977068084352. Its totient is φ = 237644789760.

The previous prime is 1146482235343. The next prime is 1146482235383. The reversal of 1146482235360 is 635322846411.

1146482235360 is a `hidden beast` number, since 1 + 1 + 4 + 64 + 8 + 223 + 5 + 360 = 666.

It is a super-3 number, since 3×1146482235360³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 362465139 + ... + 362468301.

It is an arithmetic number, because the mean of its divisors is an integer number (5760495468).

Almost surely, 2^{1146482235360} is an apocalyptic number.

1146482235360 is a gapful number since it is divisible by the number (10) 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 1146482235360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488534042176).

1146482235360 is an abundant number, since it is smaller than the sum of its proper divisors (3830585848992).

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

1146482235360 is a wasteful number, since it uses less digits than its factorization.

1146482235360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1146482235360 in words is "one trillion, one hundred forty-six billion, four hundred eighty-two million, two hundred thirty-five thousand, three hundred sixty".