10429463952 has 60 divisors (see below), whose sum is σ = 30194509020. Its totient is φ = 3356607744.

The previous prime is 10429463927. The next prime is 10429463963. The reversal of 10429463952 is 25936492401.

10429463952 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 9 + 4 + 639 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6219530496 + 4209933456 = 78864^2 + 64884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10429463898 and 10429463907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1244563 + ... + 1252914.

It is an arithmetic number, because the mean of its divisors is an integer number (503241817).

Almost surely, 2^10429463952 is an apocalyptic number.

10429463952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10429463952 is an abundant number, since it is smaller than the sum of its proper divisors (19765045068).

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

10429463952 is a wasteful number, since it uses less digits than its factorization.

10429463952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497520 (or 2497511 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10429463952 in words is "ten billion, four hundred twenty-nine million, four hundred sixty-three thousand, nine hundred fifty-two".