84741546888152 has 384 divisors, whose sum is σ = 215834325840000. Its totient is φ = 31100048179200.

The previous prime is 84741546888149. The next prime is 84741546888217. The reversal of 84741546888152 is 25188864514748.

It is a super-2 number, since 2×84741546888152² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 394669208 + ... + 394883864.

It is an arithmetic number, because the mean of its divisors is an integer number (562068556875).

Almost surely, 2^{84741546888152} is an apocalyptic number.

84741546888152 is a gapful number since it is divisible by the number (82) 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 84741546888152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107917162920000).

84741546888152 is an abundant number, since it is smaller than the sum of its proper divisors (131092778951848).

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

84741546888152 is a wasteful number, since it uses less digits than its factorization.

84741546888152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214776 (or 214747 counting only the distinct ones).

The product of its digits is 550502400, while the sum is 71.

The spelling of 84741546888152 in words is "eighty-four trillion, seven hundred forty-one billion, five hundred forty-six million, eight hundred eighty-eight thousand, one hundred fifty-two".