142237218816000 has 4320 divisors, whose sum is σ = 661792907543040. Its totient is φ = 29058269184000.

The previous prime is 142237218815999. The next prime is 142237218816029. The reversal of 142237218816000 is 618812732241.

142237218816000 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 37 + 2 + 1 + 8 + 8 + 1 + 600 + 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1023289343931 + ... + 1023289344069.

It is an arithmetic number, because the mean of its divisors is an integer number (153192802672).

Almost surely, 2^{142237218816000} is an apocalyptic number.

142237218816000 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 142237218816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330896453771520).

142237218816000 is an abundant number, since it is smaller than the sum of its proper divisors (519555688727040).

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

142237218816000 is a wasteful number, since it uses less digits than its factorization.

142237218816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 142237218816000 in words is "one hundred forty-two trillion, two hundred thirty-seven billion, two hundred eighteen million, eight hundred sixteen thousand".