1145933472000 has 576 divisors, whose sum is σ = 4024114698240. Its totient is φ = 288230400000.

The previous prime is 1145933471993. The next prime is 1145933472007. The reversal of 1145933472000 is 2743395411.

It is an interprime number because it is at equal distance from previous prime (1145933471993) and next prime (1145933472007).

It is a self number, because there is not a number n which added to its sum of digits gives 1145933472000.

It is not an unprimeable number, because it can be changed into a prime (1145933472007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457822749 + ... + 457825251.

It is an arithmetic number, because the mean of its divisors is an integer number (6986310240).

Almost surely, 2^{1145933472000} is an apocalyptic number.

1145933472000 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 1145933472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012057349120).

1145933472000 is an abundant number, since it is smaller than the sum of its proper divisors (2878181226240).

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

1145933472000 is a wasteful number, since it uses less digits than its factorization.

1145933472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 1145933472000 in words is "one trillion, one hundred forty-five billion, nine hundred thirty-three million, four hundred seventy-two thousand".