144226854540000 has 1080 divisors, whose sum is σ = 552578139961848. Its totient is φ = 35656980480000.

The previous prime is 144226854539993. The next prime is 144226854540011. The reversal of 144226854540000 is 45458622441.

144226854540000 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 2 + 68 + 545 + 40 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×144226854540000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3485319310 + ... + 3485360690.

Almost surely, 2^{144226854540000} is an apocalyptic number.

144226854540000 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 144226854540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276289069980924).

144226854540000 is an abundant number, since it is smaller than the sum of its proper divisors (408351285421848).

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

144226854540000 is a wasteful number, since it uses less digits than its factorization.

144226854540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41518 (or 41475 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 144226854540000 in words is "one hundred forty-four trillion, two hundred twenty-six billion, eight hundred fifty-four million, five hundred forty thousand".