84151125752344 has 512 divisors, whose sum is σ = 199143899136000. Its totient is φ = 32553715138560.

The previous prime is 84151125752299. The next prime is 84151125752347. The reversal of 84151125752344 is 44325752115148.

It is a junction number, because it is equal to n+sod(n) for n = 84151125752291 and 84151125752300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84151125752347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95301387727 + ... + 95301388609.

It is an arithmetic number, because the mean of its divisors is an integer number (388952928000).

Almost surely, 2^{84151125752344} 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 84151125752344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99571949568000).

84151125752344 is an abundant number, since it is smaller than the sum of its proper divisors (114992773383656).

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

84151125752344 is a wasteful number, since it uses less digits than its factorization.

84151125752344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1371 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 52.

The spelling of 84151125752344 in words is "eighty-four trillion, one hundred fifty-one billion, one hundred twenty-five million, seven hundred fifty-two thousand, three hundred forty-four".