84884080048384 has 72 divisors (see below), whose sum is σ = 174186405352568. Its totient is φ = 41254507560960.

The previous prime is 84884080048367. The next prime is 84884080048393. The reversal of 84884080048384 is 48384008048848.

It can be written as a sum of positive squares in 4 ways, for example, as 56819514288384 + 28064565760000 = 7537872^2 + 5297600^2 .

It is a super-2 number, since 2×84884080048384² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5282284 + ... + 14059540.

Almost surely, 2^{84884080048384} 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 84884080048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87093202676284).

84884080048384 is an abundant number, since it is smaller than the sum of its proper divisors (89302325304184).

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

84884080048384 is a wasteful number, since it uses less digits than its factorization.

84884080048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8778331 (or 8778317 counting only the distinct ones).

The product of its (nonzero) digits is 201326592, while the sum is 67.

The spelling of 84884080048384 in words is "eighty-four trillion, eight hundred eighty-four billion, eighty million, forty-eight thousand, three hundred eighty-four".