1618467396100 has 27 divisors (see below), whose sum is σ = 3512101856277. Its totient is φ = 647381869680.

The previous prime is 1618467396097. The next prime is 1618467396151. The reversal of 1618467396100 is 16937648161.

The square root of 1618467396100 is 1272190.

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., 582648262596 + 1035819133504 = 763314^2 + 1017752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12658291 + ... + 12785509.

Almost surely, 2^{1618467396100} is an apocalyptic number.

1618467396100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1618467396100 is the 1272190-th square number.

It is an amenable number.

1618467396100 is an abundant number, since it is smaller than the sum of its proper divisors (1893634460177).

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

1618467396100 is an frugal number, since it uses more digits than its factorization.

1618467396100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254452 (or 127226 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 1618467396100 in words is "one trillion, six hundred eighteen billion, four hundred sixty-seven million, three hundred ninety-six thousand, one hundred".