1145311651400 has 192 divisors, whose sum is σ = 3263874134400. Its totient is φ = 364991477760.

The previous prime is 1145311651339. The next prime is 1145311651417. The reversal of 1145311651400 is 41561135411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003604 + ... + 1815996.

It is an arithmetic number, because the mean of its divisors is an integer number (16999344450).

Almost surely, 2^{1145311651400} is an apocalyptic number.

1145311651400 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 1145311651400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631937067200).

1145311651400 is an abundant number, since it is smaller than the sum of its proper divisors (2118562483000).

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

1145311651400 is a wasteful number, since it uses less digits than its factorization.

1145311651400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812488 (or 812479 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 1145311651400 its reverse (41561135411), we get a palindrome (1186872786811).

The spelling of 1145311651400 in words is "one trillion, one hundred forty-five billion, three hundred eleven million, six hundred fifty-one thousand, four hundred".