10265346432 has 448 divisors, whose sum is σ = 34154850960. Its totient is φ = 3045703680.

The previous prime is 10265346431. The next prime is 10265346433. The reversal of 10265346432 is 23464356201.

10265346432 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 3 + 4 + 643 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10265346431) and next prime (10265346433).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10265346431) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 74929468 + ... + 74929604.

Almost surely, 2^10265346432 is an apocalyptic number.

10265346432 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 10265346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077425480).

10265346432 is an abundant number, since it is smaller than the sum of its proper divisors (23889504528).

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

10265346432 is an equidigital number, since it uses as much as digits as its factorization.

10265346432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 10265346432 in words is "ten billion, two hundred sixty-five million, three hundred forty-six thousand, four hundred thirty-two".