10415813450952 has 256 divisors, whose sum is σ = 32714095680000. Its totient is φ = 2746071465984.

The previous prime is 10415813450921. The next prime is 10415813450953. The reversal of 10415813450952 is 25905431851401.

It is a super-2 number, since 2×10415813450952² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10415813450953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339118348 + ... + 339149060.

It is an arithmetic number, because the mean of its divisors is an integer number (127789436250).

Almost surely, 2^{10415813450952} is an apocalyptic number.

10415813450952 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 10415813450952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357047840000).

10415813450952 is an abundant number, since it is smaller than the sum of its proper divisors (22298282229048).

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

10415813450952 is a wasteful number, since it uses less digits than its factorization.

10415813450952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33925 (or 33907 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 10415813450952 in words is "ten trillion, four hundred fifteen billion, eight hundred thirteen million, four hundred fifty thousand, nine hundred fifty-two".