83770141344 has 96 divisors (see below), whose sum is σ = 229863997440. Its totient is φ = 26680492800.

The previous prime is 83770141337. The next prime is 83770141361. The reversal of 83770141344 is 44314107738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 83770141296 and 83770141305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56949 + ... + 413259.

It is an arithmetic number, because the mean of its divisors is an integer number (2394416640).

Almost surely, 2^83770141344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83770141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114931998720).

83770141344 is an abundant number, since it is smaller than the sum of its proper divisors (146093856096).

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

83770141344 is a wasteful number, since it uses less digits than its factorization.

83770141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356434 (or 356426 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 83770141344 in words is "eighty-three billion, seven hundred seventy million, one hundred forty-one thousand, three hundred forty-four".