10214168832 has 216 divisors, whose sum is σ = 33852728000. Its totient is φ = 2901381120.

The previous prime is 10214168821. The next prime is 10214168869. The reversal of 10214168832 is 23886141201.

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 23 ways as a sum of consecutive naturals, for example, 2917419 + ... + 2920917.

Almost surely, 2^10214168832 is an apocalyptic number.

10214168832 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 10214168832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926364000).

10214168832 is an abundant number, since it is smaller than the sum of its proper divisors (23638559168).

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

10214168832 is a wasteful number, since it uses less digits than its factorization.

10214168832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10214168832 in words is "ten billion, two hundred fourteen million, one hundred sixty-eight thousand, eight hundred thirty-two".