14122750151160 has 1152 divisors, whose sum is σ = 55753843017600. Its totient is φ = 3088834560000.

The previous prime is 14122750151137. The next prime is 14122750151197. The reversal of 14122750151160 is 6115105722141.

14122750151160 is a `hidden beast` number, since 1 + 4 + 12 + 2 + 75 + 0 + 1 + 511 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11759158560 + ... + 11759159760.

It is an arithmetic number, because the mean of its divisors is an integer number (48397433175).

Almost surely, 2^{14122750151160} is an apocalyptic number.

14122750151160 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 14122750151160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27876921508800).

14122750151160 is an abundant number, since it is smaller than the sum of its proper divisors (41631092866440).

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

14122750151160 is a wasteful number, since it uses less digits than its factorization.

14122750151160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 14122750151160 in words is "fourteen trillion, one hundred twenty-two billion, seven hundred fifty million, one hundred fifty-one thousand, one hundred sixty".