1463516742144 has 80 divisors (see below), whose sum is σ = 3917379137760. Its totient is φ = 485526773760.

The previous prime is 1463516742137. The next prime is 1463516742157. The reversal of 1463516742144 is 4412476153641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1463516742093 and 1463516742102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1933749 + ... + 2581940.

It is an arithmetic number, because the mean of its divisors is an integer number (48967239222).

Almost surely, 2^{1463516742144} is an apocalyptic number.

It is an amenable number.

1463516742144 is an abundant number, since it is smaller than the sum of its proper divisors (2453862395616).

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

1463516742144 is an equidigital number, since it uses as much as digits as its factorization.

1463516742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515921 (or 4515905 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 1463516742144 in words is "one trillion, four hundred sixty-three billion, five hundred sixteen million, seven hundred forty-two thousand, one hundred forty-four".