14156166960 has 480 divisors, whose sum is σ = 54950857920. Its totient is φ = 3329593344.

The previous prime is 14156166949. The next prime is 14156166979. The reversal of 14156166960 is 6966165141.

14156166960 = T₉₅₈₁ + T₉₅₈₂ + ... + T₉₈₇₉.

14156166960 is a `hidden beast` number, since 14 + 15 + 616 + 6 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14853844 + ... + 14854796.

It is an arithmetic number, because the mean of its divisors is an integer number (114480954).

Almost surely, 2^14156166960 is an apocalyptic number.

14156166960 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 14156166960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27475428960).

14156166960 is an abundant number, since it is smaller than the sum of its proper divisors (40794690960).

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

14156166960 is a wasteful number, since it uses less digits than its factorization.

14156166960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 14156166960 in words is "fourteen billion, one hundred fifty-six million, one hundred sixty-six thousand, nine hundred sixty".