13306429500672 has 1152 divisors, whose sum is σ = 47655117619200. Its totient is φ = 3262242816000.

The previous prime is 13306429500613. The next prime is 13306429500719. The reversal of 13306429500672 is 27600592460331.

It is a super-2 number, since 2×13306429500672² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3682929138 + ... + 3682932750.

It is an arithmetic number, because the mean of its divisors is an integer number (41367289600).

Almost surely, 2^{13306429500672} is an apocalyptic number.

13306429500672 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 13306429500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23827558809600).

13306429500672 is an abundant number, since it is smaller than the sum of its proper divisors (34348688118528).

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

13306429500672 is a wasteful number, since it uses less digits than its factorization.

13306429500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 13306429500672 in words is "thirteen trillion, three hundred six billion, four hundred twenty-nine million, five hundred thousand, six hundred seventy-two".