1353103121664 has 432 divisors, whose sum is σ = 4632639661440. Its totient is φ = 381622026240.

The previous prime is 1353103121647. The next prime is 1353103121693. The reversal of 1353103121664 is 4661213013531.

1353103121664 is a `hidden beast` number, since 1 + 353 + 1 + 0 + 31 + 216 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1353103121664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301962304 + ... + 301966784.

It is an arithmetic number, because the mean of its divisors is an integer number (10723702920).

Almost surely, 2^{1353103121664} is an apocalyptic number.

1353103121664 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 1353103121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316319830720).

1353103121664 is an abundant number, since it is smaller than the sum of its proper divisors (3279536539776).

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

1353103121664 is an frugal number, since it uses more digits than its factorization.

1353103121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1353103121664 in words is "one trillion, three hundred fifty-three billion, one hundred three million, one hundred twenty-one thousand, six hundred sixty-four".