144416772734976 has 3240 divisors, whose sum is σ = 561022863238656. Its totient is φ = 35577428705280.

The previous prime is 144416772734939. The next prime is 144416772735019. The reversal of 144416772734976 is 679437277614441.

144416772734976 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 67 + 7 + 2 + 73 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1488832708560 + ... + 1488832708656.

Almost surely, 2^{144416772734976} is an apocalyptic number.

144416772734976 is a gapful number since it is divisible by the number (16) 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 144416772734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280511431619328).

144416772734976 is an abundant number, since it is smaller than the sum of its proper divisors (416606090503680).

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

144416772734976 is a wasteful number, since it uses less digits than its factorization.

144416772734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 180 counting only the distinct ones).

The product of its digits is 1194891264, while the sum is 72.

The spelling of 144416772734976 in words is "one hundred forty-four trillion, four hundred sixteen billion, seven hundred seventy-two million, seven hundred thirty-four thousand, nine hundred seventy-six".