83451869952 has 288 divisors, whose sum is σ = 255418894080. Its totient is φ = 23952015360.

The previous prime is 83451869927. The next prime is 83451869989. The reversal of 83451869952 is 25996815438.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12981363 + ... + 12987789.

It is an arithmetic number, because the mean of its divisors is an integer number (886871160).

Almost surely, 2^83451869952 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 83451869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127709447040).

83451869952 is an abundant number, since it is smaller than the sum of its proper divisors (171967024128).

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

83451869952 is a wasteful number, since it uses less digits than its factorization.

83451869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6539 (or 6525 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The spelling of 83451869952 in words is "eighty-three billion, four hundred fifty-one million, eight hundred sixty-nine thousand, nine hundred fifty-two".