1675724406144 has 256 divisors, whose sum is σ = 4833387667200. Its totient is φ = 512723312640.

The previous prime is 1675724406133. The next prime is 1675724406149. The reversal of 1675724406144 is 4416044275761.

It is a super-2 number, since 2×1675724406144² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1675724406149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29790654 + ... + 29846850.

It is an arithmetic number, because the mean of its divisors is an integer number (18880420575).

Almost surely, 2^{1675724406144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1675724406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416693833600).

1675724406144 is an abundant number, since it is smaller than the sum of its proper divisors (3157663261056).

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

1675724406144 is a wasteful number, since it uses less digits than its factorization.

1675724406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56361 (or 56349 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 1675724406144 in words is "one trillion, six hundred seventy-five billion, seven hundred twenty-four million, four hundred six thousand, one hundred forty-four".