18406907904 has 448 divisors, whose sum is σ = 62508091392. Its totient is φ = 4679270400.

The previous prime is 18406907899. The next prime is 18406907917. The reversal of 18406907904 is 40970960481.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134356924 + ... + 134357060.

Almost surely, 2^18406907904 is an apocalyptic number.

18406907904 is a gapful number since it is divisible by the number (14) 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 18406907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31254045696).

18406907904 is an abundant number, since it is smaller than the sum of its proper divisors (44101183488).

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

18406907904 is a wasteful number, since it uses less digits than its factorization.

18406907904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 18406907904 in words is "eighteen billion, four hundred six million, nine hundred seven thousand, nine hundred four".