1819900365696 has 1024 divisors, whose sum is σ = 6758712576000. Its totient is φ = 470060236800.

The previous prime is 1819900365659. The next prime is 1819900365709. The reversal of 1819900365696 is 6965630099181.

1819900365696 is a `hidden beast` number, since 181 + 9 + 9 + 0 + 0 + 365 + 6 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3947722906 + ... + 3947723366.

It is an arithmetic number, because the mean of its divisors is an integer number (6600305250).

Almost surely, 2^{1819900365696} is an apocalyptic number.

1819900365696 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 1819900365696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379356288000).

1819900365696 is an abundant number, since it is smaller than the sum of its proper divisors (4938812210304).

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

1819900365696 is a wasteful number, since it uses less digits than its factorization.

1819900365696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 1819900365696 in words is "one trillion, eight hundred nineteen billion, nine hundred million, three hundred sixty-five thousand, six hundred ninety-six".