1146074153200 has 120 divisors (see below), whose sum is σ = 2768033432736. Its totient is φ = 456005760000.

The previous prime is 1146074153183. The next prime is 1146074153209. The reversal of 1146074153200 is 23514706411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146074153209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73737430 + ... + 73752970.

Almost surely, 2^{1146074153200} is an apocalyptic number.

1146074153200 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 1146074153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384016716368).

1146074153200 is an abundant number, since it is smaller than the sum of its proper divisors (1621959279536).

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

1146074153200 is a wasteful number, since it uses less digits than its factorization.

1146074153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16523 (or 16512 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 1146074153200 its reverse (23514706411), we get a palindrome (1169588859611).

The spelling of 1146074153200 in words is "one trillion, one hundred forty-six billion, seventy-four million, one hundred fifty-three thousand, two hundred".