10045285632 has 216 divisors, whose sum is σ = 31010586880. Its totient is φ = 3239792640.

The previous prime is 10045285631. The next prime is 10045285633. The reversal of 10045285632 is 23658254001.

10045285632 is a `hidden beast` number, since 10 + 0 + 4 + 5 + 2 + 8 + 5 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (10045285631) and next prime (10045285633).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045285631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1925844 + ... + 1931052.

Almost surely, 2^10045285632 is an apocalyptic number.

10045285632 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 10045285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505293440).

10045285632 is an abundant number, since it is smaller than the sum of its proper divisors (20965301248).

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

10045285632 is an frugal number, since it uses more digits than its factorization.

10045285632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5271 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10045285632 in words is "ten billion, forty-five million, two hundred eighty-five thousand, six hundred thirty-two".