14781106032 has 640 divisors, whose sum is σ = 52659486720. Its totient is φ = 3459456000.

The previous prime is 14781106013. The next prime is 14781106037. The reversal of 14781106032 is 23060118741.

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 = 14781105984 and 14781106002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14781106037) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187102569 + ... + 187102647.

It is an arithmetic number, because the mean of its divisors is an integer number (82280448).

Almost surely, 2^14781106032 is an apocalyptic number.

14781106032 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 14781106032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26329743360).

14781106032 is an abundant number, since it is smaller than the sum of its proper divisors (37878380688).

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

14781106032 is a wasteful number, since it uses less digits than its factorization.

14781106032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 14781106032 in words is "fourteen billion, seven hundred eighty-one million, one hundred six thousand, thirty-two".