14955246100 has 72 divisors (see below), whose sum is σ = 33284619648. Its totient is φ = 5829139200.

The previous prime is 14955246091. The next prime is 14955246101. The reversal of 14955246100 is 164255941.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14955246100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14955246101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4520647 + ... + 4523953.

It is an arithmetic number, because the mean of its divisors is an integer number (462286384).

Almost surely, 2^14955246100 is an apocalyptic number.

14955246100 is a gapful number since it is divisible by the number (10) 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 14955246100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642309824).

14955246100 is an abundant number, since it is smaller than the sum of its proper divisors (18329373548).

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

14955246100 is a wasteful number, since it uses less digits than its factorization.

14955246100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 14955246100 in words is "fourteen billion, nine hundred fifty-five million, two hundred forty-six thousand, one hundred".