1613981970000 has 400 divisors, whose sum is σ = 5898334178880. Its totient is φ = 422270784000.

The previous prime is 1613981969989. The next prime is 1613981970019. The reversal of 1613981970000 is 791893161.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14253607 + ... + 14366393.

Almost surely, 2^{1613981970000} is an apocalyptic number.

1613981970000 is a gapful number since it is divisible by the number (10) 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 1613981970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949167089440).

1613981970000 is an abundant number, since it is smaller than the sum of its proper divisors (4284352208880).

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

1613981970000 is a wasteful number, since it uses less digits than its factorization.

1613981970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112877 (or 112850 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1613981970000 in words is "one trillion, six hundred thirteen billion, nine hundred eighty-one million, nine hundred seventy thousand".