10134476352 has 1176 divisors, whose sum is σ = 42536132352. Its totient is φ = 2351462400.

The previous prime is 10134476311. The next prime is 10134476353. The reversal of 10134476352 is 25367443101.

10134476352 is a `hidden beast` number, since 1 + 0 + 13 + 4 + 4 + 7 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×10134476352² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10134476353) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 326918577 + ... + 326918607.

Almost surely, 2^10134476352 is an apocalyptic number.

10134476352 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 10134476352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21268066176).

10134476352 is an abundant number, since it is smaller than the sum of its proper divisors (32401656000).

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

10134476352 is a wasteful number, since it uses less digits than its factorization.

10134476352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10134476352 in words is "ten billion, one hundred thirty-four million, four hundred seventy-six thousand, three hundred fifty-two".