10346062272 has 336 divisors, whose sum is σ = 35487315360. Its totient is φ = 2633637888.

The previous prime is 10346062271. The next prime is 10346062273. The reversal of 10346062272 is 27226064301.

It is an interprime number because it is at equal distance from previous prime (10346062271) and next prime (10346062273).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10346062272² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10346062271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3545358 + ... + 3548274.

It is an arithmetic number, because the mean of its divisors is an integer number (105617010).

Almost surely, 2^10346062272 is an apocalyptic number.

10346062272 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 10346062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17743657680).

10346062272 is an abundant number, since it is smaller than the sum of its proper divisors (25141253088).

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

10346062272 is a wasteful number, since it uses less digits than its factorization.

10346062272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 10346062272 in words is "ten billion, three hundred forty-six million, sixty-two thousand, two hundred seventy-two".