1354868064144 has 675 divisors, whose sum is σ = 4745348655201. Its totient is φ = 372103683840.

The previous prime is 1354868064127. The next prime is 1354868064149. The reversal of 1354868064144 is 4414608684531.

The square root of 1354868064144 is 1163988.

It is a perfect power (a square), and thus also a powerful number.

1354868064144 is a `hidden beast` number, since 1 + 3 + 5 + 486 + 80 + 6 + 41 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 158732121744 + 1196135942400 = 398412^2 + 1093680^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1354868064149) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9093074182 + ... + 9093074330.

Almost surely, 2^{1354868064144} is an apocalyptic number.

1354868064144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1354868064144 is the 1163988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354868064144

1354868064144 is an abundant number, since it is smaller than the sum of its proper divisors (3390480591057).

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

1354868064144 is an equidigital number, since it uses as much as digits as its factorization.

1354868064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1354868064144 in words is "one trillion, three hundred fifty-four billion, eight hundred sixty-eight million, sixty-four thousand, one hundred forty-four".