142518343968 has 1920 divisors, whose sum is σ = 614718720000. Its totient is φ = 31823124480.

The previous prime is 142518343931. The next prime is 142518343973. The reversal of 142518343968 is 869343815241.

It is a happy number.

142518343968 is a `hidden beast` number, since 1 + 4 + 2 + 518 + 34 + 3 + 96 + 8 = 666.

It is a super-2 number, since 2×142518343968² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2415565123 + ... + 2415565181.

It is an arithmetic number, because the mean of its divisors is an integer number (320166000).

Almost surely, 2^142518343968 is an apocalyptic number.

142518343968 is a gapful number since it is divisible by the number (18) 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 142518343968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307359360000).

142518343968 is an abundant number, since it is smaller than the sum of its proper divisors (472200376032).

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

142518343968 is a wasteful number, since it uses less digits than its factorization.

142518343968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 142518343968 in words is "one hundred forty-two billion, five hundred eighteen million, three hundred forty-three thousand, nine hundred sixty-eight".