14950112950080 has 2268 divisors, whose sum is σ = 68332162884804. Its totient is φ = 3103930368000.

The previous prime is 14950112950067. The next prime is 14950112950109. The reversal of 14950112950080 is 8005921105941.

14950112950080 is a `hidden beast` number, since 1 + 4 + 9 + 50 + 1 + 12 + 9 + 500 + 80 = 666.

14950112950080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1682976911616 + 13267136038464 = 1297296^2 + 3642408^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 12448053480 + ... + 12448054680.

Almost surely, 2^{14950112950080} is an apocalyptic number.

14950112950080 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 14950112950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34166081442402).

14950112950080 is an abundant number, since it is smaller than the sum of its proper divisors (53382049934724).

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

14950112950080 is an equidigital number, since it uses as much as digits as its factorization.

14950112950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 14950112950080 in words is "fourteen trillion, nine hundred fifty billion, one hundred twelve million, nine hundred fifty thousand, eighty".