10356416425452 has 192 divisors, whose sum is σ = 26212587287040. Its totient is φ = 3171712204800.

The previous prime is 10356416425423. The next prime is 10356416425457. The reversal of 10356416425452 is 25452461465301.

It is a super-3 number, since 3×10356416425452³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10356416425457) 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, 1145490052 + ... + 1145499092.

It is an arithmetic number, because the mean of its divisors is an integer number (136523892120).

Almost surely, 2^{10356416425452} is an apocalyptic number.

10356416425452 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 10356416425452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106293643520).

10356416425452 is an abundant number, since it is smaller than the sum of its proper divisors (15856170861588).

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

10356416425452 is a wasteful number, since it uses less digits than its factorization.

10356416425452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 10356416425452 in words is "ten trillion, three hundred fifty-six billion, four hundred sixteen million, four hundred twenty-five thousand, four hundred fifty-two".