1749946125312 has 2376 divisors, whose sum is σ = 7249316675328. Its totient is φ = 411886632960.

The previous prime is 1749946125283. The next prime is 1749946125349. The reversal of 1749946125312 is 2135216499471.

1749946125312 is a `hidden beast` number, since 1 + 7 + 4 + 9 + 9 + 4 + 612 + 5 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a super-2 number, since 2×1749946125312² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 76084614133 + ... + 76084614155.

Almost surely, 2^{1749946125312} is an apocalyptic number.

1749946125312 is a gapful number since it is divisible by the number (12) 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 1749946125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624658337664).

1749946125312 is an abundant number, since it is smaller than the sum of its proper divisors (5499370550016).

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

1749946125312 is a wasteful number, since it uses less digits than its factorization.

1749946125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 1749946125312 in words is "one trillion, seven hundred forty-nine billion, nine hundred forty-six million, one hundred twenty-five thousand, three hundred twelve".