1142454910464 has 960 divisors, whose sum is σ = 4097705230080. Its totient is φ = 313110282240.

The previous prime is 1142454910451. The next prime is 1142454910483. The reversal of 1142454910464 is 4640194542411.

1142454910464 is a `hidden beast` number, since 1 + 1 + 42 + 4 + 549 + 1 + 0 + 4 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1776756927 + ... + 1776757569.

It is an arithmetic number, because the mean of its divisors is an integer number (4268442948).

Almost surely, 2^{1142454910464} is an apocalyptic number.

1142454910464 is a gapful number since it is divisible by the number (14) 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 1142454910464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048852615040).

1142454910464 is an abundant number, since it is smaller than the sum of its proper divisors (2955250319616).

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

1142454910464 is an equidigital number, since it uses as much as digits as its factorization.

1142454910464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1142454910464 in words is "one trillion, one hundred forty-two billion, four hundred fifty-four million, nine hundred ten thousand, four hundred sixty-four".