144867463900992 has 84 divisors (see below), whose sum is σ = 474555918466656. Its totient is φ = 41390703970560.

The previous prime is 144867463900969. The next prime is 144867463901021. The reversal of 144867463900992 is 299009364768441.

It is a happy number.

144867463900992 is a `hidden beast` number, since 1 + 4 + 4 + 86 + 74 + 6 + 390 + 0 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a self number, because there is not a number n which added to its sum of digits gives 144867463900992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17964711234 + ... + 17964719297.

Almost surely, 2^{144867463900992} is an apocalyptic number.

144867463900992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144867463900992 is an abundant number, since it is smaller than the sum of its proper divisors (329688454565664).

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

144867463900992 is a wasteful number, since it uses less digits than its factorization.

144867463900992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35929430556 (or 35929430543 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 144867463900992 in words is "one hundred forty-four trillion, eight hundred sixty-seven billion, four hundred sixty-three million, nine hundred thousand, nine hundred ninety-two".