3125665754112 has 528 divisors, whose sum is σ = 9717793516800. Its totient is φ = 884743372800.

The previous prime is 3125665754111. The next prime is 3125665754129. The reversal of 3125665754112 is 2114575665213.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×3125665754112³ (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3125665754111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941747589 + ... + 941750907.

Almost surely, 2^{3125665754112} is an apocalyptic number.

3125665754112 is a gapful number since it is divisible by the number (32) 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 3125665754112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858896758400).

3125665754112 is an abundant number, since it is smaller than the sum of its proper divisors (6592127762688).

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

3125665754112 is a wasteful number, since it uses less digits than its factorization.

3125665754112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3395 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The spelling of 3125665754112 in words is "three trillion, one hundred twenty-five billion, six hundred sixty-five million, seven hundred fifty-four thousand, one hundred twelve".