14949231610950 has 1152 divisors, whose sum is σ = 54402688005120. Its totient is φ = 2965865932800.

The previous prime is 14949231610921. The next prime is 14949231610969. The reversal of 14949231610950 is 5901613294941.

14949231610950 is a `hidden beast` number, since 1 + 4 + 9 + 492 + 3 + 1 + 61 + 0 + 95 + 0 = 666.

It is a super-3 number, since 3×14949231610950³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 13702319905 + ... + 13702320995.

It is an arithmetic number, because the mean of its divisors is an integer number (47224555560).

Almost surely, 2^{14949231610950} is an apocalyptic number.

14949231610950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14949231610950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27201344002560).

14949231610950 is an abundant number, since it is smaller than the sum of its proper divisors (39453456394170).

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

14949231610950 is a wasteful number, since it uses less digits than its factorization.

14949231610950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 14949231610950 in words is "fourteen trillion, nine hundred forty-nine billion, two hundred thirty-one million, six hundred ten thousand, nine hundred fifty".