14738627904 has 672 divisors, whose sum is σ = 55903343616. Its totient is φ = 3316285440.

The previous prime is 14738627903. The next prime is 14738627933. The reversal of 14738627904 is 40972683741.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14738627903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42474259 + ... + 42474605.

Almost surely, 2^14738627904 is an apocalyptic number.

14738627904 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 14738627904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27951671808).

14738627904 is an abundant number, since it is smaller than the sum of its proper divisors (41164715712).

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

14738627904 is a wasteful number, since it uses less digits than its factorization.

14738627904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 14738627904 in words is "fourteen billion, seven hundred thirty-eight million, six hundred twenty-seven thousand, nine hundred four".