1353564354100 has 216 divisors, whose sum is σ = 3496067015168. Its totient is φ = 445565836800.

The previous prime is 1353564354049. The next prime is 1353564354101. The reversal of 1353564354100 is 14534653531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353564354101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106548349 + ... + 106561051.

Almost surely, 2^{1353564354100} is an apocalyptic number.

1353564354100 is a gapful number since it is divisible by the number (10) 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 1353564354100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748033507584).

1353564354100 is an abundant number, since it is smaller than the sum of its proper divisors (2142502661068).

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

1353564354100 is a wasteful number, since it uses less digits than its factorization.

1353564354100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12963 (or 12927 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 1353564354100 in words is "one trillion, three hundred fifty-three billion, five hundred sixty-four million, three hundred fifty-four thousand, one hundred".