1146362463400 has 384 divisors, whose sum is σ = 3365784576000. Its totient is φ = 352725120000.

The previous prime is 1146362463391. The next prime is 1146362463401. The reversal of 1146362463400 is 43642636411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1146362463401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 651711721 + ... + 651713479.

It is an arithmetic number, because the mean of its divisors is an integer number (8765064000).

Almost surely, 2^{1146362463400} is an apocalyptic number.

1146362463400 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 1146362463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682892288000).

1146362463400 is an abundant number, since it is smaller than the sum of its proper divisors (2219422112600).

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

1146362463400 is a wasteful number, since it uses less digits than its factorization.

1146362463400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 1146362463400 in words is "one trillion, one hundred forty-six billion, three hundred sixty-two million, four hundred sixty-three thousand, four hundred".