17958144064 has 63 divisors (see below), whose sum is σ = 41471094477. Its totient is φ = 7693131264.

The previous prime is 17958144049. The next prime is 17958144091. The reversal of 17958144064 is 46044185971.

The square root of 17958144064 is 134008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 373262400 + 17584881664 = 19320^2 + 132608^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17958143999 and 17958144017.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7503252 + ... + 7505644.

Almost surely, 2^17958144064 is an apocalyptic number.

17958144064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

17958144064 is the 134008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17958144064

17958144064 is an abundant number, since it is smaller than the sum of its proper divisors (23512950413).

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

17958144064 is an frugal number, since it uses more digits than its factorization.

17958144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 17958144064 by its sum of digits (49), we get a square (879949059136 = 938056²).

17958144064 divided by its sum of digits (49) gives a square (366492736 = 19144²).

The spelling of 17958144064 in words is "seventeen billion, nine hundred fifty-eight million, one hundred forty-four thousand, sixty-four".