83745517895424 has 1728 divisors, whose sum is σ = 315234603220992. Its totient is φ = 20926731386880.

The previous prime is 83745517895401. The next prime is 83745517895453. The reversal of 83745517895424 is 42459871554738.

83745517895424 is a `hidden beast` number, since 8 + 3 + 7 + 4 + 5 + 5 + 1 + 78 + 9 + 542 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77042794209 + ... + 77042795295.

Almost surely, 2^{83745517895424} is an apocalyptic number.

83745517895424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83745517895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157617301610496).

83745517895424 is an abundant number, since it is smaller than the sum of its proper divisors (231489085325568).

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

83745517895424 is a wasteful number, since it uses less digits than its factorization.

83745517895424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1244 counting only the distinct ones).

The product of its digits is 1354752000, while the sum is 72.

The spelling of 83745517895424 in words is "eighty-three trillion, seven hundred forty-five billion, five hundred seventeen million, eight hundred ninety-five thousand, four hundred twenty-four".