19162864900 has 81 divisors (see below), whose sum is σ = 42301478079. Its totient is φ = 7535021760.

The previous prime is 19162864873. The next prime is 19162864951. The reversal of 19162864900 is 946826191.

It is a happy number.

The square root of 19162864900 is 138430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70257924 + 19092606976 = 8382^2 + 138176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150888637 + ... + 150888763.

Almost surely, 2^19162864900 is an apocalyptic number.

19162864900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19162864900 is the 138430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19162864900

19162864900 is an abundant number, since it is smaller than the sum of its proper divisors (23138613179).

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

19162864900 is a wasteful number, since it uses less digits than its factorization.

19162864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 19162864900 in words is "nineteen billion, one hundred sixty-two million, eight hundred sixty-four thousand, nine hundred".