1353458460672 has 168 divisors, whose sum is σ = 4057532412570. Its totient is φ = 451152322560.

The previous prime is 1353458460643. The next prime is 1353458460677. The reversal of 1353458460672 is 2760648543531.

1353458460672 is a `hidden beast` number, since 1 + 3 + 53 + 4 + 584 + 6 + 0 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1221148763136 + 132309697536 = 1105056^2 + 363744^2 .

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 (1353458460677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1039722 + ... + 1946262.

Almost surely, 2^{1353458460672} is an apocalyptic number.

1353458460672 is a gapful number since it is divisible by the number (12) 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 1353458460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028766206285).

1353458460672 is an abundant number, since it is smaller than the sum of its proper divisors (2704073951898).

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

1353458460672 is an frugal number, since it uses more digits than its factorization.

1353458460672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906581 (or 906546 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 1353458460672 in words is "one trillion, three hundred fifty-three billion, four hundred fifty-eight million, four hundred sixty thousand, six hundred seventy-two".