1936770081456 has 160 divisors (see below), whose sum is σ = 5732236113408. Its totient is φ = 551994992640.

The previous prime is 1936770081443. The next prime is 1936770081479. The reversal of 1936770081456 is 6541800776391.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1936770081396 and 1936770081405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264546276 + ... + 264553596.

Almost surely, 2^{1936770081456} is an apocalyptic number.

1936770081456 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 1936770081456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866118056704).

1936770081456 is an abundant number, since it is smaller than the sum of its proper divisors (3795466031952).

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

1936770081456 is a wasteful number, since it uses less digits than its factorization.

1936770081456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9179 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 1936770081456 in words is "one trillion, nine hundred thirty-six billion, seven hundred seventy million, eighty-one thousand, four hundred fifty-six".