18906738278400 has 3240 divisors, whose sum is σ = 85842875454336. Its totient is φ = 3950405222400.

The previous prime is 18906738278359. The next prime is 18906738278401. The reversal of 18906738278400 is 487283760981.

18906738278400 is a `hidden beast` number, since 1 + 8 + 90 + 6 + 73 + 8 + 2 + 78 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18906738278401) 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 215 ways as a sum of consecutive naturals, for example, 144326246335 + ... + 144326246465.

Almost surely, 2^{18906738278400} is an apocalyptic number.

18906738278400 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 18906738278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42921437727168).

18906738278400 is an abundant number, since it is smaller than the sum of its proper divisors (66936137175936).

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

18906738278400 is a wasteful number, since it uses less digits than its factorization.

18906738278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 18906738278400 in words is "eighteen trillion, nine hundred six billion, seven hundred thirty-eight million, two hundred seventy-eight thousand, four hundred".