84944141747136 has 896 divisors, whose sum is σ = 296198136299520. Its totient is φ = 23368161484800.

The previous prime is 84944141747131. The next prime is 84944141747183. The reversal of 84944141747136 is 63174714144948.

84944141747136 is a `hidden beast` number, since 8 + 4 + 9 + 4 + 41 + 417 + 47 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84944141747131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15886315215 + ... + 15886320561.

It is an arithmetic number, because the mean of its divisors is an integer number (330578277120).

Almost surely, 2^{84944141747136} 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 84944141747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148099068149760).

84944141747136 is an abundant number, since it is smaller than the sum of its proper divisors (211253994552384).

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

84944141747136 is a wasteful number, since it uses less digits than its factorization.

84944141747136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5814 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 84944141747136 in words is "eighty-four trillion, nine hundred forty-four billion, one hundred forty-one million, seven hundred forty-seven thousand, one hundred thirty-six".