1683312057450 has 216 divisors, whose sum is σ = 4703046071724. Its totient is φ = 431618803200.

The previous prime is 1683312057443. The next prime is 1683312057487. The reversal of 1683312057450 is 547502133861.

It is a happy number.

1683312057450 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 3 + 1 + 20 + 574 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 955551215529 + 727760841921 = 977523^2 + 853089^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1683312057396 and 1683312057405.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 67882254 + ... + 67907046.

Almost surely, 2^{1683312057450} is an apocalyptic number.

1683312057450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683312057450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351523035862).

1683312057450 is an abundant number, since it is smaller than the sum of its proper divisors (3019734014274).

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

1683312057450 is a wasteful number, since it uses less digits than its factorization.

1683312057450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25030 (or 24991 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1683312057450 in words is "one trillion, six hundred eighty-three billion, three hundred twelve million, fifty-seven thousand, four hundred fifty".