13703829480 has 576 divisors, whose sum is σ = 52036058880. Its totient is φ = 3219264000.

The previous prime is 13703829473. The next prime is 13703829497. The reversal of 13703829480 is 8492830731.

13703829480 is a `hidden beast` number, since 137 + 0 + 38 + 2 + 9 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 135681430 + ... + 135681530.

It is an arithmetic number, because the mean of its divisors is an integer number (90340380).

Almost surely, 2^13703829480 is an apocalyptic number.

13703829480 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 13703829480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26018029440).

13703829480 is an abundant number, since it is smaller than the sum of its proper divisors (38332229400).

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

13703829480 is a wasteful number, since it uses less digits than its factorization.

13703829480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13703829480 in words is "thirteen billion, seven hundred three million, eight hundred twenty-nine thousand, four hundred eighty".