13792576030464 has 1152 divisors, whose sum is σ = 50333575219200. Its totient is φ = 3253496709120.

The previous prime is 13792576030463. The next prime is 13792576030469. The reversal of 13792576030464 is 46403067529731.

It is a happy number.

It is a super-2 number, since 2×13792576030464² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13792576030463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8425519054 + ... + 8425520690.

It is an arithmetic number, because the mean of its divisors is an integer number (43692339600).

Almost surely, 2^{13792576030464} is an apocalyptic number.

13792576030464 is a gapful number since it is divisible by the number (14) 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 13792576030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25166787609600).

13792576030464 is an abundant number, since it is smaller than the sum of its proper divisors (36540999188736).

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

13792576030464 is a wasteful number, since it uses less digits than its factorization.

13792576030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 13792576030464 in words is "thirteen trillion, seven hundred ninety-two billion, five hundred seventy-six million, thirty thousand, four hundred sixty-four".