84654294912 has 576 divisors, whose sum is σ = 282059930880. Its totient is φ = 25250227200.

The previous prime is 84654294871. The next prime is 84654294961. The reversal of 84654294912 is 21949245648.

84654294912 is a `hidden beast` number, since 8 + 4 + 6 + 542 + 9 + 4 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4976640) is a multiple of the sum of its prime factors (405).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 312377337 + ... + 312377607.

It is an arithmetic number, because the mean of its divisors is an integer number (489687380).

Almost surely, 2^84654294912 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 84654294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141029965440).

84654294912 is an abundant number, since it is smaller than the sum of its proper divisors (197405635968).

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

84654294912 is a wasteful number, since it uses less digits than its factorization.

84654294912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 370 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 84654294912 in words is "eighty-four billion, six hundred fifty-four million, two hundred ninety-four thousand, nine hundred twelve".