14151131550864 has 1920 divisors, whose sum is σ = 57144758501376. Its totient is φ = 3155023872000.

The previous prime is 14151131550863. The next prime is 14151131550889. The reversal of 14151131550864 is 46805513115141.

14151131550864 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 1 + 1 + 31 + 550 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (14151131550863) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9542232267 + ... + 9542233749.

Almost surely, 2^{14151131550864} is an apocalyptic number.

14151131550864 is a gapful number since it is divisible by the number (14) 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 14151131550864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28572379250688).

14151131550864 is an abundant number, since it is smaller than the sum of its proper divisors (42993626950512).

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

14151131550864 is a wasteful number, since it uses less digits than its factorization.

14151131550864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 14151131550864 in words is "fourteen trillion, one hundred fifty-one billion, one hundred thirty-one million, five hundred fifty thousand, eight hundred sixty-four".