10438734735 has 96 divisors (see below), whose sum is σ = 21967727040. Its totient is φ = 4671786240.

The previous prime is 10438734659. The next prime is 10438734769. The reversal of 10438734735 is 53743783401.

10438734735 is a `hidden beast` number, since 104 + 3 + 8 + 73 + 473 + 5 = 666.

It is not a de Polignac number, because 10438734735 - 2⁸ = 10438734479 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187777 + ... + 236933.

It is an arithmetic number, because the mean of its divisors is an integer number (228830490).

Almost surely, 2^10438734735 is an apocalyptic number.

10438734735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10438734735 is an abundant number, since it is smaller than the sum of its proper divisors (11528992305).

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

10438734735 is a wasteful number, since it uses less digits than its factorization.

10438734735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49206 (or 49189 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 10438734735 in words is "ten billion, four hundred thirty-eight million, seven hundred thirty-four thousand, seven hundred thirty-five".