1145633346000 has 960 divisors, whose sum is σ = 4728739841280. Its totient is φ = 254845440000.

The previous prime is 1145633345981. The next prime is 1145633346019. The reversal of 1145633346000 is 6433365411.

1145633346000 is a `hidden beast` number, since 1 + 1 + 4 + 563 + 3 + 34 + 60 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1145633345981) and next prime (1145633346019).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 465892771 + ... + 465895229.

It is an arithmetic number, because the mean of its divisors is an integer number (4925770668).

Almost surely, 2^{1145633346000} is an apocalyptic number.

1145633346000 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 1145633346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364369920640).

1145633346000 is an abundant number, since it is smaller than the sum of its proper divisors (3583106495280).

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

1145633346000 is a wasteful number, since it uses less digits than its factorization.

1145633346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1145633346000 in words is "one trillion, one hundred forty-five billion, six hundred thirty-three million, three hundred forty-six thousand".