1146870233600 has 1440 divisors, whose sum is σ = 3810796450560. Its totient is φ = 334005534720.

The previous prime is 1146870233567. The next prime is 1146870233603. The reversal of 1146870233600 is 63320786411.

It is a super-2 number, since 2×1146870233600² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1146870233603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12886182356 + ... + 12886182444.

It is an arithmetic number, because the mean of its divisors is an integer number (2646386424).

Almost surely, 2^{1146870233600} is an apocalyptic number.

1146870233600 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 1146870233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905398225280).

1146870233600 is an abundant number, since it is smaller than the sum of its proper divisors (2663926216960).

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

1146870233600 is a wasteful number, since it uses less digits than its factorization.

1146870233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 1146870233600 in words is "one trillion, one hundred forty-six billion, eight hundred seventy million, two hundred thirty-three thousand, six hundred".