14746134500 has 48 divisors (see below), whose sum is σ = 32248066032. Its totient is φ = 5890668800.

The previous prime is 14746134499. The next prime is 14746134511. The reversal of 14746134500 is 543164741.

It can be written as a sum of positive squares in 8 ways, for example, as 6892984576 + 7853149924 = 83024^2 + 88618^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 367424 + ... + 405576.

It is an arithmetic number, because the mean of its divisors is an integer number (671834709).

Almost surely, 2^14746134500 is an apocalyptic number.

14746134500 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 14746134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124033016).

14746134500 is an abundant number, since it is smaller than the sum of its proper divisors (17501931532).

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

14746134500 is a wasteful number, since it uses less digits than its factorization.

14746134500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38945 (or 38933 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 14746134500 in words is "fourteen billion, seven hundred forty-six million, one hundred thirty-four thousand, five hundred".