83251688949000 has 1536 divisors, whose sum is σ = 343272226752000. Its totient is φ = 18605666304000.

The previous prime is 83251688948933. The next prime is 83251688949031. The reversal of 83251688949000 is 94988615238.

83251688949000 is a `hidden beast` number, since 8 + 3 + 2 + 5 + 1 + 68 + 89 + 490 + 0 + 0 = 666.

It is a super-3 number, since 3×83251688949000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 51741260196 + ... + 51741261804.

It is an arithmetic number, because the mean of its divisors is an integer number (223484522625).

Almost surely, 2^{83251688949000} 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 83251688949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171636113376000).

83251688949000 is an abundant number, since it is smaller than the sum of its proper divisors (260020537803000).

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

83251688949000 is a wasteful number, since it uses less digits than its factorization.

83251688949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 83251688949000 in words is "eighty-three trillion, two hundred fifty-one billion, six hundred eighty-eight million, nine hundred forty-nine thousand".