83645313024 has 832 divisors, whose sum is σ = 300611010560. Its totient is φ = 20065812480.

The previous prime is 83645313019. The next prime is 83645313041. The reversal of 83645313024 is 42031354638.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658624449 + ... + 658624575.

Almost surely, 2^83645313024 is an apocalyptic number.

83645313024 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 83645313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150305505280).

83645313024 is an abundant number, since it is smaller than the sum of its proper divisors (216965697536).

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

83645313024 is a wasteful number, since it uses less digits than its factorization.

83645313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 83645313024 in words is "eighty-three billion, six hundred forty-five million, three hundred thirteen thousand, twenty-four".