10485018432 has 252 divisors, whose sum is σ = 36257544960. Its totient is φ = 2995501824.

The previous prime is 10485018419. The next prime is 10485018451. The reversal of 10485018432 is 23481058401.

10485018432 is a `hidden beast` number, since 1 + 0 + 48 + 501 + 84 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×10485018432² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 755169 + ... + 768927.

Almost surely, 2^10485018432 is an apocalyptic number.

10485018432 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 10485018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18128772480).

10485018432 is an abundant number, since it is smaller than the sum of its proper divisors (25772526528).

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

10485018432 is an equidigital number, since it uses as much as digits as its factorization.

10485018432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13800 (or 13771 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10485018432 in words is "ten billion, four hundred eighty-five million, eighteen thousand, four hundred thirty-two".