1353392423100 has 576 divisors, whose sum is σ = 4547108966400. Its totient is φ = 344953728000.

The previous prime is 1353392423087. The next prime is 1353392423189. The reversal of 1353392423100 is 13242933531.

1353392423100 is a `hidden beast` number, since 1 + 3 + 5 + 339 + 2 + 4 + 2 + 310 + 0 = 666.

It is a super-2 number, since 2×1353392423100² (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 191 ways as a sum of consecutive naturals, for example, 3479157706 + ... + 3479158094.

It is an arithmetic number, because the mean of its divisors is an integer number (7894286400).

Almost surely, 2^{1353392423100} is an apocalyptic number.

1353392423100 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 1353392423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273554483200).

1353392423100 is an abundant number, since it is smaller than the sum of its proper divisors (3193716543300).

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

1353392423100 is a wasteful number, since it uses less digits than its factorization.

1353392423100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 1353392423100 in words is "one trillion, three hundred fifty-three billion, three hundred ninety-two million, four hundred twenty-three thousand, one hundred".