84149521657344 has 1920 divisors, whose sum is σ = 307103160139776. Its totient is φ = 22654660608000.

The previous prime is 84149521657309. The next prime is 84149521657351. The reversal of 84149521657344 is 44375612594148.

84149521657344 is a `hidden beast` number, since 8 + 4 + 1 + 4 + 9 + 5 + 2 + 16 + 573 + 44 = 666.

It is a super-2 number, since 2×84149521657344² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 149466290407 + ... + 149466290969.

Almost surely, 2^{84149521657344} 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 84149521657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153551580069888).

84149521657344 is an abundant number, since it is smaller than the sum of its proper divisors (222953638482432).

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

84149521657344 is a wasteful number, since it uses less digits than its factorization.

84149521657344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 894 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 84149521657344 in words is "eighty-four trillion, one hundred forty-nine billion, five hundred twenty-one million, six hundred fifty-seven thousand, three hundred forty-four".