1905349418973 has 756 divisors, whose sum is σ = 4226609489760. Its totient is φ = 837645494400.

The previous prime is 1905349418953. The next prime is 1905349418977. The reversal of 1905349418973 is 3798149435091.

1905349418973 is a `hidden beast` number, since 1 + 9 + 0 + 53 + 494 + 1 + 8 + 97 + 3 = 666.

It is not a de Polignac number, because 1905349418973 - 2⁸ = 1905349418717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1905349418973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1905349418977) by changing a digit.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 61462884468 + ... + 61462884498.

Almost surely, 2^{1905349418973} is an apocalyptic number.

1905349418973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1905349418973 is an abundant number, since it is smaller than the sum of its proper divisors (2321260070787).

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

1905349418973 is a wasteful number, since it uses less digits than its factorization.

1905349418973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1905349418973 in words is "one trillion, nine hundred five billion, three hundred forty-nine million, four hundred eighteen thousand, nine hundred seventy-three".