18929294400 has 336 divisors, whose sum is σ = 66906574848. Its totient is φ = 4671744000.

The previous prime is 18929294399. The next prime is 18929294411. The reversal of 18929294400 is 449292981.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18929294400.

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 47 ways as a sum of consecutive naturals, for example, 3419635 + ... + 3425165.

Almost surely, 2^18929294400 is an apocalyptic number.

18929294400 is a gapful number since it is divisible by the number (10) 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 18929294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33453287424).

18929294400 is an abundant number, since it is smaller than the sum of its proper divisors (47977280448).

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

18929294400 is a wasteful number, since it uses less digits than its factorization.

18929294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 18929294400 in words is "eighteen billion, nine hundred twenty-nine million, two hundred ninety-four thousand, four hundred".