1146738524400 has 960 divisors, whose sum is σ = 4761295257600. Its totient is φ = 256736148480.

The previous prime is 1146738524311. The next prime is 1146738524419. The reversal of 1146738524400 is 44258376411.

1146738524400 is a `hidden beast` number, since 1 + 14 + 6 + 73 + 8 + 524 + 40 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 796898881 + ... + 796900319.

It is an arithmetic number, because the mean of its divisors is an integer number (4959682560).

Almost surely, 2^{1146738524400} is an apocalyptic number.

1146738524400 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 1146738524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380647628800).

1146738524400 is an abundant number, since it is smaller than the sum of its proper divisors (3614556733200).

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

1146738524400 is a wasteful number, since it uses less digits than its factorization.

1146738524400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1146738524400 in words is "one trillion, one hundred forty-six billion, seven hundred thirty-eight million, five hundred twenty-four thousand, four hundred".