144046850411520 has 1848 divisors, whose sum is σ = 611912090611872. Its totient is φ = 31857343856640.

The previous prime is 144046850411437. The next prime is 144046850411537. The reversal of 144046850411520 is 25114058640441.

144046850411520 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 6 + 8 + 504 + 115 + 20 = 666.

It is a super-2 number, since 2×144046850411520² (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 an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 25108390092 + ... + 25108395828.

Almost surely, 2^{144046850411520} is an apocalyptic number.

144046850411520 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 144046850411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305956045305936).

144046850411520 is an abundant number, since it is smaller than the sum of its proper divisors (467865240200352).

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

144046850411520 is an frugal number, since it uses more digits than its factorization.

144046850411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5785 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 144046850411520 in words is "one hundred forty-four trillion, forty-six billion, eight hundred fifty million, four hundred eleven thousand, five hundred twenty".