83781148056048 has 120 divisors (see below), whose sum is σ = 239009343681888. Its totient is φ = 27386989733376.

The previous prime is 83781148056031. The next prime is 83781148056103. The reversal of 83781148056048 is 84065084118738.

It is a happy number.

83781148056048 is a `hidden beast` number, since 8 + 3 + 7 + 8 + 1 + 14 + 8 + 0 + 5 + 604 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13297986 + ... + 18557982.

Almost surely, 2^{83781148056048} 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 83781148056048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119504671840944).

83781148056048 is an abundant number, since it is smaller than the sum of its proper divisors (155228195625840).

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

83781148056048 is a wasteful number, since it uses less digits than its factorization.

83781148056048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262151 (or 5262142 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 83781148056048 in words is "eighty-three trillion, seven hundred eighty-one billion, one hundred forty-eight million, fifty-six thousand, forty-eight".