1146674445600 has 288 divisors, whose sum is σ = 3786477649920. Its totient is φ = 301365642240.

The previous prime is 1146674445583. The next prime is 1146674445611. The reversal of 1146674445600 is 65444766411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1146674445600.

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, 111290049 + ... + 111300351.

It is an arithmetic number, because the mean of its divisors is an integer number (13147491840).

Almost surely, 2^{1146674445600} is an apocalyptic number.

1146674445600 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 1146674445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893238824960).

1146674445600 is an abundant number, since it is smaller than the sum of its proper divisors (2639803204320).

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

1146674445600 is a wasteful number, since it uses less digits than its factorization.

1146674445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10992 (or 10979 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 1146674445600 in words is "one trillion, one hundred forty-six billion, six hundred seventy-four million, four hundred forty-five thousand, six hundred".