1230705874944 has 768 divisors, whose sum is σ = 4751216870400. Its totient is φ = 305467490304.

The previous prime is 1230705874939. The next prime is 1230705874969. The reversal of 1230705874944 is 4494785070321.

1230705874944 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 70 + 5 + 87 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85535719 + ... + 85550105.

It is an arithmetic number, because the mean of its divisors is an integer number (6186480300).

Almost surely, 2^{1230705874944} is an apocalyptic number.

1230705874944 is a gapful number since it is divisible by the number (14) 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 1230705874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375608435200).

1230705874944 is an abundant number, since it is smaller than the sum of its proper divisors (3520510995456).

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

1230705874944 is a wasteful number, since it uses less digits than its factorization.

1230705874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14455 (or 14429 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1230705874944 in words is "one trillion, two hundred thirty billion, seven hundred five million, eight hundred seventy-four thousand, nine hundred forty-four".