13414474752 has 176 divisors, whose sum is σ = 42182479872. Its totient is φ = 3708887040.

The previous prime is 13414474739. The next prime is 13414474771. The reversal of 13414474752 is 25747441431.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656563 + ... + 676685.

Almost surely, 2^13414474752 is an apocalyptic number.

13414474752 is a gapful number since it is divisible by the number (12) 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 13414474752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21091239936).

13414474752 is an abundant number, since it is smaller than the sum of its proper divisors (28768005120).

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

13414474752 is a wasteful number, since it uses less digits than its factorization.

13414474752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20184 (or 20166 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The spelling of 13414474752 in words is "thirteen billion, four hundred fourteen million, four hundred seventy-four thousand, seven hundred fifty-two".