10634437152 has 36 divisors (see below), whose sum is σ = 30241681470. Its totient is φ = 3544812288.

The previous prime is 10634437127. The next prime is 10634437169. The reversal of 10634437152 is 25173443601.

10634437152 is a `hidden beast` number, since 1 + 0 + 63 + 443 + 7 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10632909456 + 1527696 = 103116^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10634437152² (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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18462277 + ... + 18462852.

Almost surely, 2^10634437152 is an apocalyptic number.

10634437152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10634437152 is an abundant number, since it is smaller than the sum of its proper divisors (19607244318).

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

10634437152 is a wasteful number, since it uses less digits than its factorization.

10634437152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36925145 (or 36925134 counting only the distinct ones).

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

The spelling of 10634437152 in words is "ten billion, six hundred thirty-four million, four hundred thirty-seven thousand, one hundred fifty-two".