1349804312100 has 72 divisors (see below), whose sum is σ = 4339370908320. Its totient is φ = 359947815840.

The previous prime is 1349804312099. The next prime is 1349804312111. The reversal of 1349804312100 is 12134089431.

1349804312100 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 8 + 0 + 431 + 210 + 0 = 666.

It is a super-4 number, since 4×1349804312100⁴ (a number of 50 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249961062 + ... + 249966461.

Almost surely, 2^{1349804312100} is an apocalyptic number.

1349804312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349804312100 is an abundant number, since it is smaller than the sum of its proper divisors (2989566596220).

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

1349804312100 is a wasteful number, since it uses less digits than its factorization.

1349804312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499927546 (or 499927533 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1349804312100 in words is "one trillion, three hundred forty-nine billion, eight hundred four million, three hundred twelve thousand, one hundred".