14961050832 has 480 divisors, whose sum is σ = 51556224000. Its totient is φ = 3724890624.

The previous prime is 14961050831. The next prime is 14961050843. The reversal of 14961050832 is 23805016941.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14961050831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52865763 + ... + 52866045.

It is an arithmetic number, because the mean of its divisors is an integer number (107408800).

Almost surely, 2^14961050832 is an apocalyptic number.

14961050832 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 14961050832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25778112000).

14961050832 is an abundant number, since it is smaller than the sum of its proper divisors (36595173168).

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

14961050832 is a wasteful number, since it uses less digits than its factorization.

14961050832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 14961050832 in words is "fourteen billion, nine hundred sixty-one million, fifty thousand, eight hundred thirty-two".