17957454144 has 168 divisors, whose sum is σ = 58521234240. Its totient is φ = 4828852224.

The previous prime is 17957454133. The next prime is 17957454181. The reversal of 17957454144 is 44145475971.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103797 + ... + 216075.

It is an arithmetic number, because the mean of its divisors is an integer number (348340680).

Almost surely, 2^17957454144 is an apocalyptic number.

17957454144 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 17957454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29260617120).

17957454144 is an abundant number, since it is smaller than the sum of its proper divisors (40563780096).

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

17957454144 is a wasteful number, since it uses less digits than its factorization.

17957454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112325 (or 112308 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The spelling of 17957454144 in words is "seventeen billion, nine hundred fifty-seven million, four hundred fifty-four thousand, one hundred forty-four".