84972524370048 has 2048 divisors, whose sum is σ = 307184596992000. Its totient is φ = 22624203571200.

The previous prime is 84972524369947. The next prime is 84972524370091. The reversal of 84972524370048 is 84007342527948.

It is a happy number.

84972524370048 is a `hidden beast` number, since 8 + 4 + 9 + 7 + 252 + 4 + 370 + 0 + 4 + 8 = 666.

84972524370048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 469461460518 + ... + 469461460698.

It is an arithmetic number, because the mean of its divisors is an integer number (149992479000).

Almost surely, 2^{84972524370048} 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 84972524370048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153592298496000).

84972524370048 is an abundant number, since it is smaller than the sum of its proper divisors (222212072621952).

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

84972524370048 is a wasteful number, since it uses less digits than its factorization.

84972524370048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 84972524370048 in words is "eighty-four trillion, nine hundred seventy-two billion, five hundred twenty-four million, three hundred seventy thousand, forty-eight".