10634144532 has 72 divisors (see below), whose sum is σ = 27555335808. Its totient is φ = 3189204480.

The previous prime is 10634144527. The next prime is 10634144557. The reversal of 10634144532 is 23544143601.

It is a happy number.

It is a super-2 number, since 2×10634144532² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10634144493 and 10634144502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103093 + ... + 178595.

Almost surely, 2^10634144532 is an apocalyptic number.

10634144532 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 10634144532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13777667904).

10634144532 is an abundant number, since it is smaller than the sum of its proper divisors (16921191276).

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

10634144532 is a wasteful number, since it uses less digits than its factorization.

10634144532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75629 (or 75616 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 10634144532 in words is "ten billion, six hundred thirty-four million, one hundred forty-four thousand, five hundred thirty-two".