13429101456 has 315 divisors, whose sum is σ = 41523514851. Its totient is φ = 4205198592.

The previous prime is 13429101443. The next prime is 13429101457. The reversal of 13429101456 is 65410192431.

It is a happy number.

The square root of 13429101456 is 115884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2857971600 + 10571129856 = 53460^2 + 102816^2 .

It is a super-3 number, since 3×13429101456³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13429101456.

It is not an unprimeable number, because it can be changed into a prime (13429101457) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 362948670 + ... + 362948706.

Almost surely, 2^13429101456 is an apocalyptic number.

13429101456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13429101456 is the 115884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13429101456

13429101456 is an abundant number, since it is smaller than the sum of its proper divisors (28094413395).

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

13429101456 is an frugal number, since it uses more digits than its factorization.

13429101456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 13429101456 by its sum of digits (36), we get a square (483447652416 = 695304²).

13429101456 divided by its sum of digits (36) gives a square (373030596 = 19314²).

Adding to 13429101456 its reverse (65410192431), we get a palindrome (78839293887).

The spelling of 13429101456 in words is "thirteen billion, four hundred twenty-nine million, one hundred one thousand, four hundred fifty-six".