1691661900096 has 280 divisors, whose sum is σ = 5754998050560. Its totient is φ = 481307194368.

The previous prime is 1691661900059. The next prime is 1691661900113. The reversal of 1691661900096 is 6900091661961.

1691661900096 is a `hidden beast` number, since 1 + 6 + 9 + 16 + 619 + 0 + 0 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8575306 + ... + 8770358.

Almost surely, 2^{1691661900096} is an apocalyptic number.

1691661900096 is a gapful number since it is divisible by the number (16) 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 1691661900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877499025280).

1691661900096 is an abundant number, since it is smaller than the sum of its proper divisors (4063336150464).

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

1691661900096 is a wasteful number, since it uses less digits than its factorization.

1691661900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195323 (or 195304 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 1691661900096 in words is "one trillion, six hundred ninety-one billion, six hundred sixty-one million, nine hundred thousand, ninety-six".