17379148900 has 27 divisors (see below), whose sum is σ = 37715614041. Its totient is φ = 6951132240.

The previous prime is 17379148883. The next prime is 17379148907. The reversal of 17379148900 is 984197371.

The square root of 17379148900 is 131830.

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., 6256493604 + 11122655296 = 79098^2 + 105464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17379148907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1311709 + ... + 1324891.

Almost surely, 2^17379148900 is an apocalyptic number.

17379148900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17379148900 is the 131830-th square number.

It is an amenable number.

17379148900 is an abundant number, since it is smaller than the sum of its proper divisors (20336465141).

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

17379148900 is an frugal number, since it uses more digits than its factorization.

17379148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26380 (or 13190 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 49.

Multiplying 17379148900 by its sum of digits (49), we get a square (851578296100 = 922810²).

The spelling of 17379148900 in words is "seventeen billion, three hundred seventy-nine million, one hundred forty-eight thousand, nine hundred".